# 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.(f-x)65-713072-7839n(n -158-6451-57444-5030-36237-434IntervalFrequency

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Step 1

Obtain the calculation table required to find standard deviation for the sample data summarized in frequency distribution.

The data represents the frequencies for the class intervals of sample data.

Consider the midpoints of the class intervals be denoted by xi

The general formula to calculate midpoint is,

xi = (Lower bound + Upper bound)/2.

The frequencies of the class intervals be denoted by fi and the total frequency be denoted by n.

The calculation table required to find standard deviation for the sample data summarized in frequency distribution is obtained from the calculation given below:

Step 2

Obtain the standard deviation for the sample data summarized in frequency distribution.

The general formula to obtain standard deviation is,

s = (SQRT((nSfixi^2) – (Sfixi)^2)))/n(n – 1)

The standard deviation for the sample data summarized in frequency distribution is obtained as 11.07519 from the calculation given below:

Step 3

Compare the computed standard deviation to the standard deviation obtained from the original data values.

The standard deviation obtained from the original list of data values is 11.1.

The standard deviation comp...

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