Question

Asked Feb 5, 2019

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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 *x _{i} *

The general formula to calculate midpoint is,

*x _{i} *= (Lower bound + Upper bound)/2.

The frequencies of the class intervals be denoted by *f _{i} *and the total frequency be denoted by

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((*n*S*f _{i}x_{i}*^2) – (S

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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