Question

Find the mean and standard deviation for the set of data. {22,21,20,4,19,6,24,11,26} A. mean: 17; standard deviation: 8.1 B. mean: 17; standard deviation: 7.53 C. mean: 20; standard deviation: 8.1 D. mean: 20; standard deviation: 7.53

Answer 1

Using it's concepts, the mean and the standard deviation of the data-set are given as follows:

B. mean: 17; standard deviation: 7.53.

What are the mean and the standard deviation of a data-set?

• The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.

• The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.

The mean for this problem is:

M = (22 + 21 + 20 + 4 + 19 + 6 + 24 + 11 + 26)/9 = 17

The standard deviation is:

$S = \sqrt{\frac{(22-17)^2+(21-17)^2+(20-17)^2+(4-17)^2+(19-17)^2+(6-17)^2+(24-17)^2+(11-17)^2+(26-17)^2}{9}} = 7.53$

Hence option B is correct.

More can be learned about the mean and the standard deviation of a data-set at brainly.com/question/28048096

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