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Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class

Find the standard deviation, s, of sample data summarized in the frequency distribution table 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,11.1.

Interval Frequency
20-36 1
27-33 1
34-40 1
41-47 3
48-54 16
55-61 39
62-68 33
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, 11.1?

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