SOLUTION: A sample of 12 measurements has a mean of 22 and a standard deviation of 2. Suppose that the sample is enlarged to 14 measurements, by including two additional measurements having
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Question 705581: A sample of 12 measurements has a mean of 22 and a standard deviation of 2. Suppose that the sample is enlarged to 14 measurements, by including two additional measurements having a common value of 22 each.
A. Find the mean of the sample of 14 measurements.
B. Find the standard deviation of the sample of 14 measurements.
I was wondering if there was a quicker way to do this than by hand. Thank you! Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A sample of 12 measurements has a mean of 22 and a standard deviation of 2. Suppose that the sample is enlarged to 14 measurements, by including two additional measurements having a common value of 22 each.
A. Find the mean of the sample of 14 measurements.
New mean = (total sum)/(# of elements) = (12*22+ 2*22)/14 = 22
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B. Find the standard deviation of the sample of 14 measurements.
Note: The 2-element set has std = 0
Note: Use Google to search for standard deviation identities
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s = sqrt[[12*2^2 +2*0^2]/[12+2] = sqrt[48/14] = sqrt(24/7) = 1.8516
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Cheers,
Stan H.
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