Elementary Statistics: Picturing the World (7th Edition)

Chapter 2

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ClassFrequency14-20821-271528-341435-41742-48449-... more

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ClassMid-pointFrequencyRelative ... more

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; The maximum number of observations lies between... more

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; The frequency of observations increases up to ... more

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; A relative frequency histogram is similar to ... more

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; The ogive is referred to as the cumulative ... more

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; A relative frequency histogram is similar to ... more

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The distribution of the data can be depicted from ... more

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It is difficult to detect any patterns present ... more

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Class limits define which numbers can be assigned ... more

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Relative frequency represents the proportion of ... more

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1The sum of all portions or percentages of the ... more

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In frequency polygon, frequency is used whereas in... more

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False.The difference between the lower (or upper) ... more

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The bin midpoint is known as the point that is ... more

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False.An ogive is a graphical representation of ... more

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After the construction of a continuous frequency ... more

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; The total number of classes is given as .... more

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; The total number of classes is given as .... more

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; The total number of classes is given as .... more

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; The total number of classes is given as .... more

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ClassFrequencyMidpointRelative FrequencyCumulative... more

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ClassFrequencyMidpointRelative FrequencyCumulative... more

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; From the frequency polygon, it can be depicted ... more

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; From the frequency polygon, it can be depicted ... more

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ClassFrequencyMidpointRelativeFrequencyCumulative ... more

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ClassFrequencyMidpointRelativeFrequencyCumulative ... more

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ClassFrequencyMidpointRelativeFrequencyCumulative ... more

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ClassFrequencyMidpointRelativeFrequencyCumulative ... more

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ClassFrequencyMidpointRelativeFrequencyCumulative ... more

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ClassFrequencyMidpointRelativeFrequencyCumulative ... more

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ClassFrequencyMidpointRelativeFrequencyCumulative ... more

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ClassFrequencyMidpointRelativeFrequencyCumulative ... more

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ClassFrequencyMidpointRelativeFrequencyCumulative ... more

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ClassFrequencyMidpointRelativeFrequencyCumulative ... more

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ClassFrequencyMidpointRelativeFrequencyCumulative ... more

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ClassFrequencyMidpointRelativeFrequencyCumulative ... more

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ClassFrequencyRelativeFrequencyCumulative ... more

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; From the three histograms, it can be visualized... more

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SteamLeaf1416667 2000111334444  ... more

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 From the plot, it can be visualized that most of ... more

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 It is observed that the percentage of the degree ... more

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 Organization . ; A Pareto chart is a diagram that... more

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The income of an individual increases with time... more

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The number of stayed about the equivalent until ... more

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; From the given graph, it can be visualized that... more

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Quantitative data can be displayed graphically by ... more

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The main advantage of stem and leaf is that it ... more

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Both stem and leaf and dot plots are utilized to ... more

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In the Pareto chart bars represent the frequency ... more

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(b) ; The stem-and-leaf plot is the graphical ... more

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(d) ; The stem-and-leaf plot is the graphical ... more

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(a) ; A dotplot is a statistical graph in which ... more

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(c) ; A dot-plot is a statistical graph in which ... more

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  Maximum is 85Minimum is 27 ; Stem and leaf plot ... more

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Maximum is 16.7Minimum is 12.9 ; Stem and leaf ... more

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.Maximum: Minimum: ; Dot plot is used to display ... more

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Minimum: 215.Maximum: 239. ; Dot plot is used to ... more

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The shows the highest mean time for the usage of... more

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The highest number of crimes was in 2010.The ... more

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The and have the least percentage.The has the ... more

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The shows the highest mean cost.The and show ... more

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StemLeaf   6787355698002355778901112455Most of the... more

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StemLeaf2430223556666889400000000850The ... more

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Stem Leaf43 951 8 8 8 964 8 9 9 970 0 2 2 2 580 ... more

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StemLeaf1.5471.601134446881.71478891.8236791.... more

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StemLeaf33444536778884123444555650333566686 777 ... more

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; Dot plot is used to display the data items as a... more

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; Dot plot is used to display the data items as a... more

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; Pie charts display the data in a circular graph... more

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; Pie charts display the data in a circular graph... more

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; A Pareto chart consists of rectangles/bars ... more

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; A Pareto chart consists of rectangles/bars ... more

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A scatter plot is a graph which shows the ... more

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A scatter plot is a graph which shows the ... more

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; A times series chart is used mostly to depict ... more

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; A time series chart is used mostly to depict ... more

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StemLeaves722475555681122248 A stem and leaf plot ... more

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 A stem and leaf plot helps to interpret that ... more

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Comparison of population can easily be done by ... more

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Comparison of population can easily be done by ... more

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30.2 ; Mean is the average of numbers and is ... more

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30 ; If data is arranged in increasing order, the ... more

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28.5 ; If data is arranged in increasing order, ... more

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27 ; The observation which has the highest ... more

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Some ; The observation which has the highest ... more

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Mean is 21.58Median is 21Mode is 20As the mean is ... more

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2.6 ; Some observations in the data have a greater... more

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Mean is the average of numbers and is defined as ... more

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False.Every quantitative data set has at least one... more

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Mean is the average of numbers and is defined as ... more

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Mean is the average of numbers and is defined as .... more

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2, 2, 3, 2, 1 ; If the data is divided into two ... more

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3, 4, 5, 5, 8 ; Mean is the average of numbers and... more

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; The formula to obtain the mean is where, is ... more

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; The formula to obtain the mean is where, is ... more

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Right skewedThe histogram depicts that the highest... more

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symmetricIf a vertical line is drawn down the ... more

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uniformThe histogram depicts that all of the bars ... more

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Left skewedThe histogram depicts that the highest ... more

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(11)The distribution of values ranges from 1 to 12... more

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(9)The distribution has data values in the ... more

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(12)The distribution has the highest value of 90 ... more

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(10)The distribution is roughly symmetric and the ... more

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; The formula to obtain the mean is where, is ... more

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; The formula to obtain the mean is where, is ... more

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There is no mode for the data set, as there are no... more

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; The formula to obtain the mean is where, is ... more

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; The formula to obtain the mean is where, is ... more

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There is no mode for the data set, as there are no... more

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; The formula to obtain the mean is where, is ... more

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The modes do not represent the center of the data ... more

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14.39There is no mode for the data set, as there ... more

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; The formula to obtain the mean is where, is ... more

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The mean and median cannot be calculated, as the ... more

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The mean and median cannot be calculated, as the ... more

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The mean and median cannot be calculated, as the ... more

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The mean and median cannot be calculated, as the ... more

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; The mean is defined as the sum of all ... more

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The mode does not represent the center of the data... more

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; The formula to obtain the mean is where, is ... more

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; The formula to obtain the mean is where, is ... more

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The cluster is formed between 275 and 425. ; An ... more

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Cluster is formed around 450-1050, the gap is ... more

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Mode As the data points are measured at a nominal ... more

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Mean The data is symmetric in nature and there are... more

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Mean The data is symmetric in nature and there are... more

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MedianThere is one outlier. ; The median is the ... more

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90.5 ; A weighted mean is the mean of a data set ... more

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93.5 ; A weighted mean is the mean of a data set ... more

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612.73 ; A weighted mean is the mean of a data set... more

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449.21 ; A weighted mean is the mean of a data set... more

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84 ; A weighted mean is the mean of a data set ... more

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2.8 ; A weighted mean is the mean of a data set ... more

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88.5 ; A weighted mean is the mean of a data set ... more

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3 ; A weighted mean is the mean of a data set ... more

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36.2 ; The mean of a frequency distribution is the... more

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29 ; The mean of a frequency distribution is the ... more

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42.3 ; The mean of a frequency distribution is the... more

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74.5 ; The mean of a frequency distribution is the... more

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ClassFrequencyMidpoints127-1617144162-1966179197-... more

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ClassFrequencyMidpoints104-1503127151-1974174198-... more

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ClassFrequencyMidpoints62-6436365-6776668-7096971-... more

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ClassFrequencyMidpoints161252343464545656  Uniform... more

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Right skewed, as it has the highest frequency., as... more

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Left skewed, as the mean lies to the left of the ... more

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A 3 credit class of B.The 3-credit class is ... more

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The manufacturer of car A would use mid-range to ... more

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The points between 20- 40 are Symmetric.The mean ... more

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No.The number of observations is even, therefore, ... more

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The range for firm B is greater than that of firm ... more

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; Consider denotes the observations and is the ... more

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; Consider denotes the observations and is the ... more

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; The sample mean is the ratio of sum of all the... more

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The values are with population mean and standard... more

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; The empirical rule for a symmetric bell shaped ... more

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At least of the population of the country lies ... more

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The value of the mean and standard deviation is ... more

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The mean and standard deviation is greater than ... more

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The data values for city is more variable than ... more

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No.The value 74 lies between the two standard ... more

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The range is the difference between the maximum ... more

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The difference between the observation and the ... more

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The units of the variance are different from the ... more

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Standard deviation is the positive square root of ... more

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The standard deviation of population is the square... more

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If the given dataset represents the population, ... more

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Similarity: Both estimate the proportion of data ... more

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The shape of the data must be symmetric and bell-... more

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; Range is the measure of dispersion.The range is... more

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; Range is the measure of dispersion.The range is... more

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The value of range increases with the increase of ... more

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; Range is the measure of dispersion.The range is... more

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; Range is the measure of dispersion.The range is... more

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; Range is the measure of dispersion.The range is... more

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; Range is the measure of dispersion.The range is... more

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. An offer of is two standard deviations from the... more

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. An offer of is two standard deviations from the... more

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; The size of the population is considered as ... more

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; The size of the population is considered as ... more

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; The size of the sample is considered as with ... more

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; The size of the sample is considered as with ... more

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; The Empirical rule states that of the ... more

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; The Empirical rule states that of the ... more

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are considered as unusual observations as they ... more

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52 and 98.Yes. are considered as unusual ... more

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; Chebyshev's theorem states that the proportion ... more

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; Chebyshev's theorem states that the proportion ... more

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At least of the observations are from to . ; ... more

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At least of the observations are from to . ; ... more

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03142339435368758696Sum50 ; Frequency Distribution... more

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030120Sum50 ; Frequency Distribution is a list, ... more

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Class15000-1749916249.5917500-1999918749.51020000-... more

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Class0-4255-971210-14122415-19171720-24221625-... more

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12218324416Sum60 ; Frequency Distribution is a ... more

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70.5192.512114.525136.510158.52Sum50 ; Frequency ... more

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The observations in data are more variable than ... more

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The observations in data are more variable than ... more

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The observations in data are more variable than ... more

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The variation in the second dataset is more than ... more

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The variation in the first dataset is more than ... more

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The variation in the second dataset is more than ... more

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. The distribution is left skewed. . The ... more

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10By Chebyshev's inequality, it is clear that at ... more

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C, as the frequency is highest. ; Add all the ... more

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; The formula to calculate the mean for grouped ... more

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C, as its mean is the highest. ; The mean of the ... more

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; The formula to calculate the standard deviation... more

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InAs the standard deviation of the state In is ; ... more

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For all regions, the distribution is right skewed... more

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 The first of the data points have a value of ... more

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The first of the data points have a value of less... more

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12Yes  ; The quartiles divide the data in four ... more

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About half of the triumphant scores were among 23 ... more

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19.5About of the data points were 19.5 or less... more

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; Percentile divides the data into hundred equal ... more

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; The -score is the standard normal variate with ... more

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A 5’ tall male is 3.3 standard deviations below ... more

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The period of speech is greater than of the ... more

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The mileage of the vehicle is greater than the of... more

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The marks of the candidate are greater than who ... more

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The intellectual ability of a teenager is greater ... more

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IQR can be used to identify the outliers. An ... more

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The first quartile is the 25th percentile, the ... more

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The first quartile is denoted by and is defined ... more

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False.The second quartile is the median of the ... more

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FalseAn outlier is any numeric value above or ... more

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FalseIf the corresponding -value is equal to the ... more

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; The minimum value is the lowest value and ... more

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; The minimum value is the lowest value and ... more

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NoneThe box lies in the middle of the endpoints ... more

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Right skewedThe box lies more to the left between ... more

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Left skewedThe box lies more to the right between ... more

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SymmetricThe box lies in the middle of the ... more

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; A box plot is defined as a type of chart often ... more

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; A box plot is defined as a type of chart often ... more

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; A box plot is defined as a type of chart often ... more

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; A box plot is defined as a type of chart often ... more

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Around 158Around of QRS on the GRE are less than ... more

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Around 150Around of QRS on the GRE are less than ... more

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Around 8th percentileAround 8% of QRS on the GRE ... more

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Around 97th percentileAround of QRS on the GRE ... more

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10th ; The formula to obtain percentile of a ... more

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70th ; The formula to obtain percentile of a ... more

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57, 57, 61, 61, 65, and 66 ; Quantiles divide the ... more

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28, 35, 38, 40, 41, 41, and 42 ; Quantiles divide ... more

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8 minutesAbout half of the data values are less ... more

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Approximately percentile. ; Quantiles divide the ... more

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The desired times will be between 4 minutes to 16 ... more

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 The -score corresponding to the value from a ... more

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The -score concordant to the value from a ... more

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No.The -score lies between and 2. ; The -score ... more

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No.As the -score lies between and 2. ; The -score... more

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No.As the -score lies between and 2. ; The -score... more

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Unusual as the -score is greater than 2. ; The -... more

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Yes, as the -score is less than . ; The -score ... more

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Unusual as the -score is between and 2. ; The -... more

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Since and , no value is an unusual value. ; The -... more

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Since and , no value is an unusual value. ; The -... more

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Since , 62 is an unusual value and , 56 is not an ... more

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Since , 76 is a very unusual value and , 77 is not... more

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5 ; The quartiles divide the data into four parts.... more

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33.75 ; The quartiles divide the data into four ... more

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; Group is right skewed while group appears to ... more

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From a histogram of the sales of Company T and ... more

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Class limitsClass boundariesMid ... more

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; The class has the highest relative frequency ... more

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; A frequency distribution is a tabular portrayal... more

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; The relative frequency is defined as the number... more

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; A frequency distribution is a tabular portrayal... more

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; Make a table that depicts the class limits, ... more

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StemLeaves22388323688994113695034676355For the ... more

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; From the plot, it is concluded that data value... more

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; The Pareto chart interprets that the highest ... more

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From the scatter plot, it is concluded that as the... more

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; From the plot, it is concluded that the jobless... more

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29.529.529.5 ; The property of the data to get ... more

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There is no mean and median, as the data is not in... more

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82.1 ; Some observations in the data have a ... more

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88.8 ; Some observations in the data have a ... more

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38.4 ; The property of the data to get clustered ... more

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2.1 ; The property of the data to get clustered in... more

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Right-skewed. ; Symmetric distribution has a ... more

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Right-skewed. ; Symmetric distribution has a ... more

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Right-skewed. ; Symmetric distribution has a ... more

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A histogram chart organizes the data by ... more

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Median, as in the left-skewed distribution mean is... more

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; Range is the crude measure of dispersion. It is... more

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; Range is the crude measure of dispersion. It is... more

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; Range is the crude measure of dispersion. It is... more

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; Range is obtained by the given formula .The ... more

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; Empirical rule states for a bell shaped ... more

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; The empirical rule states that for symmetric ... more

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; The Chebychev’s theorem states that the data ... more

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; The Chebychev’s theorem states that the data ... more

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; The arithmetic mean is the average of the data ... more

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; The arithmetic mean is the average of the data ... more

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The variation is more in the mean GPA of F than S... more

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The variation is more in E as compared to A.  ; ... more

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; The five-number summary consists of:Minimum ... more

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; The formula for the interquartile range is: ... more

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; A box plot is a visualization method that ... more

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; The quartiles divide the data set into four ... more

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; The quartiles divide the data set into four ... more

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; The distribution is approximately symmetric. ; ... more

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; The percentile depicts the proportion of data ... more

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; The percentile shows the proportion of the data... more

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No.The -score is not far from the standard ... more

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Yes.The -score . It is standard deviations below ... more

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Yes.The -score is more than standard deviation ... more

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No.The -score is less than standard deviation ... more

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There is no relationship between the two variables... more

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; The value of is 105.Minitab was used to find ... more

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; The value of is 105.Minitab was used to find ... more

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; For any set of values, minimum, the first ... more

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15-29430-448445-59260-74775-89090-1042105-1190120-... more

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; No. ; A histogram is a graph which displays the... more

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; The value of the mean of the data is 44.19.The ... more

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No.The observations lie within and  the shape of... more

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Yes.According to chebychev’s theorem, of the ... more

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No.The values of mean for two different data sets ... more

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Median.Mean is the average of all data values, ... more

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Systematic sampling.The bias may arise if an AL ... more

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Simple random sampling, as each phone number has ... more

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; To represent an attribute diagrammatically, ... more

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Parameter.The amount of remuneration is based on ... more

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Statistic.The percentage value represents the part... more

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The responses from all employers of institutions ... more

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The responses from all pain remover users of ... more

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Experiment.In the mentioned study, treatment which... more

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Observational study, as the experimenter did not ... more

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QuantitativeRatio scale ; In statistics, the data ... more

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QualitativeNominal scale ; In statistics, the data... more

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88.9 ; Weighted mean of a set of scores is defined... more

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Class limitMidpointClass boundaryFrequencyRelative... more

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; The distribution is right-skewed since most of ... more

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; The histogram is used to examine the shape and ... more

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The result obtained is 30, which is approximately ... more

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Some specialists believe that brokers and R-... more

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Below the first quartile.  ; The box plot ... more

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; The frequency distribution is a table that ... more

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Mean20.93Median19.5Mode13Range45Variance118.... more

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No, as it can have adverse effects on the mental ... more

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; The dot plot interprets that the data is ... more

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Left-skewed. ; Symmetric distribution has a single... more

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; The arithmetic mean is the average of the data ... more

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and dollars. ; The empirical rule states that ... more

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; A box plot is a visualization method that ... more

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; The arithmetic mean is the average of the data ... more

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; The percentile is the value which shows the ... more

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; The class interval with the highest relative ... more

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