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Discuss the relevance of each statistic to your data set and variable. (Data Set

ID: 3059935 • Letter: D

Question

Discuss the relevance of each statistic to your data set and variable. (Data Set Crime rate 2016,2017)

                                                                              2016                      2017

                 A. interquartile range (1 point)             486.5                     600

             B. variance (1 point)                             1135029.4              1178981.7

                C. standard deviation (1 point)          1065.3776             1085.8092

                                                           2016          2017

             A. mean (1 point)              664.45         664

            B. median (1 point)          289.5           253.5

            C. mode (1 point)

            D. midrange (1 point)      3823              4040

Explanation / Answer

All interpretation of the data points are the following:

Mean, median and model are basically the measures of tendancy.

The mean is at 664 and the median at 289.5 signifying the right skew in the distribution.

The midrange is basically the mid value of the max and min values in the group. For example in 2016 and 2017 we have 3823 and 4040 as midrange. Basically, this is also the measure of maximum spread of the data points in the group

The points B, and C are the meausres of spread. Standard deviation and variance of Group 2016 are lesser than that of 2018.

A. Interquartile range of 2017 is slightly less than of Group 2017 indicating less spread of data points

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