Question

What is the standard deviation of the data set? 6.5, 11.2, 13, 6.3, 7, 8.8, 7.4

Answer 1

Using it's concept, the standard deviation of the data-set is of 2.39.

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 of the data-set in this problem is given by:

M = (6.5 + 11.2 + 13 + 6.3 + 7 + 8.8 + 7.4)/7 = 8.6.

Hence the standard deviation is:

$S = \sqrt{\frac{(6.5-8.6)^2+(11.2-8.6)^2+(13-8.6)^2+(6.3-8.6)^2+(7-8.6)^2+(8.8-8.6)^2+(7.4-8.6)^2}{7}} = 2.39$

More can be learned about the standard deviation of a data-set at https://brainly.com/question/12180602

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