Given a mean of 7.6 and a standard deviation of 3.1, within how many standard deviations of the mean do the values 10, 9, 11, 5, and 3 fall?

Question

asked Sep 24, 2018 91.0k views

2 Answers

Altro · Answer 1 · 2018-09-30T19:42:53+0000

Answer:

The z-score value of the data is -0.838.

Explanation:

Given : A mean of 7.6 and a standard deviation of 3.1.

To find : How many standard deviations of the mean do the values 10, 9, 11, 5, and 3 fall?

Solution :

Mean
$\mu=7.6$

Standard deviation
$\sigma=3.1$

Values 10, 9, 11, 5, and 3 i.e. x=5

The z-score value for x=5 is given by

$z=(x-\mu)/(\sigma)$

z=(5-7.6)/(3.1)

z=(-2.6)/(3.1)

z=-0.838

The z-score value of the data is -0.838.