Calculate the range, population variance, and population standard deviation for the following data set.

Question

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.

14,11,7,13,14,20,5,8,19,10

range:

population variance:

population standard deviation ​​​​​​​

The answer I have are:

range: 15

population variance: 21.69

population standard deviation ​​​​​​​ 4.7

Please let me know if this is correct

Answer 1

Hi, Nicole! I hope this information helps you answer your question.

The range is 15, and the standard deviation is approximately 4.7, so you are correct for those parts. However, you must remember that the variance is the standard deviation squared, so when you multiply 4.7 by itself, you should get a variance of about 22.1. Also, please note that the problem says to round to only one more decimal place than the largest number of decimal places given in the data, which is the tenths place, so try not to go beyond that next time around. :)