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Mean & Standard Deviation

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Please see the attached file.
1.a) Find the sample standard deviation of the following data: 8 40 46 47 49 50

Show the calculations by using the following table:

b) If we discover that the lowest entry should have been 38 instead of 8 (i.e. the data is: 38 40 46 47 49 50), then the new mean will be: lower/the same/higher? Explain your answer. The new sample standard deviation will be: lower/the same/higher?

Explain your answer.

See attached file for full problem description.

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Solution Summary

The solution provides the mean and standard deviation for the given data.

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1.
a) Find the sample standard deviation of the following data.

8 40 46 47 49 50

Show the calculations by using the following table

The mean of these numbers is 40 (so in the second column we subtract 40 from each of the numbers).
x

8 -32 1024
40 0 0
46 6 36
47 7 49
49 9 81
50 10 100
Sum = 1290
To get the standard ...

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