Question: 6. Measures of variability Consider a data set containing the following values: 88 96 72 84 95 100 92 90 The smallest value is 72

6. Measures of variability Consider a data set containing the following values: 88 96 72 84 95 100 92 90 The smallest value is 72 V , and the largest value is 100 V . Therefore, the range is 28 v The first quartile is V . The third quartile is V . Therefore, the interquartile range (IQR) is V . The mean of the preceding values is 89.625. The deviations from the mean have been calculated: -1.625 6.375 -17.625 -5.625 5.375 10.375 2.375 0.375 If this is sample data, the sample variance is 75.41 V , the sample standard deviation is 8.68 V , and the coefficient of variation is v If this is population data, the population variance is 75.41 V , the population standard deviation is 8.68 V , and the coefficient of variation is 7 Suppose the smallest value of 72 is misrecorded as 80. The range would V , the IQR would V , and the variance and standard deviation would V
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