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# General Statistics on Population

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Problem: Please accept only if willing to explain.
A POPULATION consists of these values: 2,3,6,8,11,18.
a) Find Mean and Standard Deviant
b) List all samples of size n=2 that are obtained without replacement.
c)Find the population of all values of the mean of the values in a sample by finding mean of each sample from part b.
d) Find the mean (U subscript mean of the values in a sample)of the population of all samples
e) Verify.

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#### Solution Preview

See attachment please!

Solution. Denote the mean and standard deviation by , respectively. Then we have

Attached is a table by using Excel

Column1

Mean 8
Standard Error 2.408319
Median 7
Mode #N/A
Standard Deviation 5.899152
Sample Variance 34.8
Kurtosis 0.696591
Skewness 0.990791
Range 16
Minimum 2
Maximum 18
Sum 48
Count 6

b) List all samples of size n=2 ...

#### Solution Summary

Problem: Please accept only if willing to explain.
A Population consists of these values: 2,3,6,8,11,18.
a) Find Mean and Standard Deviant
b) List all samples of size n=2 that are obtained without replacement.
c)Find the population of all values of the mean of the values in a sample by finding mean of each sample from part b.
d) Find the mean (U subscript mean of the values in a sample)of the population of all samples
e) Verify.

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