The standard deviation of this data set is 24.7. Hence the correct option is (A).
The standard deviation of any data set is the square root of the variance of x.
To find any standard deviation of a data set we need to find out the mean of that data set.
After finding the mean of that data set we need to use the below formula.
[tex]s = \sqrt{\frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2} .[/tex] where N is the number of data.
Given data set is 12, 16, 22, 23, 23, 34, 44, 46, 47, 48, 64, 67, 73, 83, 89.
By using the above formula standard deviation is found out nearly 24.7 hence it will be the right answer.
For more information about standard deviation.
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