Question

The graph represents the normal distribution of recorded weights, in pounds, of cats at a veterinary clinic.

Which weights are within 2 standard deviations of the mean? Check all that apply.

A) 8.4 lbs

B) 8.9 lbs

C) 9.5 lbs

D) 9.8 lbs

E) 10.4 lbs

F) 10.9 lbs

Answer 1

B

C

D

E

Explanation:

8.9

9.5

9.8

10.4

Answer 2

B) 8.9 lbs

C) 9.5 lbs

D) 9.8 lbs

E) 10.4 lbs

Explanation:

From the graph, 9.5 is the mean of the sample and 0.5 is the standard deviation of the sample.

As we have to find the weights that lie within the 2 standard deviations of the mean i.e

`=9.5\pm 2(0.5)`

`=8.5,10.5`

Among the given weights only 8.9 lbs, 9.5 lbs, 9.8 lbs, 10.4 lbs will lie within 2 standard deviations of the mean.