Question

Find the standard​ deviation, s, of sample data summarized in the frequency distribution table given below by using the formula​ below, where x represents the class​ midpoint, f represents the class​ frequency, and n represents the total number of sample values.​ Also, compare the computed standard deviation to the standard deviation obtained from the original list of data​ values, 9.0.

Interval	30​-36	37​-43	44​-50	51​-57	58​-64	65​-71
Frequency	5	21	35	20	5	3

Standard deviation= ___ ​(Round to one decimal place as​ needed.)

Consider a difference of​ 20% between two values of a standard deviation to be significant. How does this computed value compare with the given standard​ deviation, 9.0​?

A. The computed value is significantly greater than the given value.

B. The computed value is significantly less than the given value.

C. The computed value is not significantly less than the given value.

Answer 1