Question

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

A graph shows the horizontal axis numbered 7.5 to x. The vertical axis is unnumbered. The graph shows an upward trend from 8 to 9.5 then a downward trend from 9.5 to 11.

Which weights are within 2 standard deviations of the mean? Select three options.

8.4 lbs
8.9 lbs
9.5 lbs
10.4 lbs
10.9 lbs

Answer 1

8.9, 9.5, 10.4

Explanation:

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Answer 2

Please consider the graph.

We have been given that graph represents the normal distribution of recorded weights, in pounds, of cats at a veterinary clinic. We are asked to choose the weights, which are within 2 standard deviations of the mean.

We can see from our graph that mean of the weights is 9.5 and standard deviation in 0.5.

The data point that would be below two standard deviation is:
`9.5-2* 0.5` that is
`9.5-1=8.5`.

The data point that would be above two standard deviation is:
`9.5+2* 0.5` that is
`9.5+1=10.5`.

Now we need to check the data points that lie within 8.5 and 10.5.

Upon looking at our given choices, we can see that 8.9, 9.5 and 10.4 pounds lie within 2 standard deviation of the mean.

Therefore, 8.9 lbs, 9.5 lbs and 10.4 lbs are correct choices.