Find the standard deviation, s, of sample data summarized in the frequency distr

Question

Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the ciass midpoint, 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, 11.1. n(n-1) Interval 27 2530.394049 30-3940949 50-59 60-69 70-79 39 80-89 34 Standard deviation (Round to one decimal place as needed.)

Explanation / Answer

The statistical software output for this problem is:

Approximate summary statistics:
Using counts in f

Hence,

Standard deviation = 12.8

Column Std. dev. x 12.837314

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