Question 12 of 15, Step 1 of 1
$12 / 20$
Correct
Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data.
$15, 8, 18, 20, 7, 17, 8, 18, 8, 14$
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Answer

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Answer

The range of the data set is $13$ , the population variance is $23.01$ , and the population standard deviation is $4.80$ .

Steps

Step 1 ：Given the data set [15, 8, 18, 20, 7, 17, 8, 18, 8, 14].

Step 2 ：Calculate the range of the data set by subtracting the smallest value from the largest value. The range is $20 - 7 = 13$ .

Step 3 ：Calculate the population variance of the data set. The population variance is approximately $23.01$ .

Step 4 ：Calculate the population standard deviation of the data set. The population standard deviation is approximately $4.80$ .

Step 5 ：The range of the data set is $13$ , the population variance is $23.01$ , and the population standard deviation is $4.80$ .