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

Question

asked Jan 28, 2018 179k views

2 Answers

Kevin Russell · Answer 1 · 2018-02-01T13:41:17+0000

Answer:

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.