Question

Find the standard​ deviation, s, of sample data summarized in the frequency distribution table given below...

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

2020​-2929

3030​-3939

4040​-4949

5050​-5959

6060​-6969

7070​-79

Frequency

55

2424

4242

1616

77

2

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,

9.09.0​?

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