Question

What is the standard deviation of the data set? 7, 3, 4, 2, 5, 6, 9 Round the answer to the tenths place.

A. 2.4
B. 5.0
C. 5.1
D. 5.8

Answer 1

The standard deviation would be A. 2.4

Answer 2

The correct option is A.

Explanation:

The given data is

7, 3, 4, 2, 5, 6, 9

The mean of the data is

`\bar{x}=\frac{\sum{x}}{n}=(36)/(7)=5.142857`

The standard deviation of the data is

`\sigma=\sqrt{\frac{\sum{(x-\bar{x})^2}}{n-1}`

Using the below table put the values in the above formula,

`\sigma=\sqrt{(34.85714)/(7-1)`

`\sigma=√(5.80952381)`

`\sigma=2.410295378`

`\sigma\approx 2.4`

Therefore the correct option is A.