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Is a measure of 25 inches​ "far away" from a mean of 16 ​inches? As someone...

Is a measure of 25 inches​ "far away" from a mean of

16 ​inches? As someone with knowledge of​ statistics, you answer​ "it depends" and request the standard deviation of the underlying data.

​(a) Suppose the data come from a sample whose standard deviation is 3

inches. How many standard deviations is 25

inches from 16 ​inches?

​(b) Is 25 inches far away from a mean of 16 ​inches?

​(c) Suppose the standard deviation of the underlying data is

7 inches. Is 25 inches far away from a mean of

16 ​inches?

Math   Statistics-And-Probability   
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