Question

3. It has been claimed that for samples of size n=10 the range should be roughly...

3. It has been claimed that for samples of size n=10 the range should be roughly three times as large as the standard deviation. Check this claim with reference to the following test scores, which 10 students obtained on an examination: 73, 86, 68, 67, 87, 80, 60, 76, 71, and 82.

Homework Answers

Answer #1

putting above data in ascending order:

from above range =max-min =87-60 =27

and standard deviation =8.8066

from above we can see that range is (27/8.8066)=3.066 times as large as the standard deviation and therefore claim is correct

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