Question

A sample of 12 measurements has a mean of 31 and a standard deviation of 4....

A sample of 12 measurements has a mean of 31 and a standard deviation of 4. Suppose that the sample is enlarged to 14 measurements, by including two additional measurements having a common value of 31 each.

A. Find the mean of the sample of 14 measurements.

Mean =

B. Find the standard deviation of the sample of 14 measurements.

Standard Deviation =

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Answer #1

Solution :

Given that,

mean = = 31

standard deviation = = 4

n = 14

a) =   = 31

b) = / n = 4 / 14 =1.069

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