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Consider this population data set: 4, 6, 7, 11, 12, 18, 26, 23, 14, 31, 22, and 12. The values 11, 31, 22, and 12 constitute a random sample drawn from the data set. The sample mean is more than the population mean by

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The population mean is the sum of the 12 data set values divided by 12:
4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186.
Therefore the population mean = 186/12 = 15.5.
The sample mean is the sum of the 4 sample values divided by 4:
11 + 31 + 22 + 12 = 76.
Therefore the sample mean = 76/4 = 19.
The sample mean is more than the population mean by 19 - 15.5 = 3.5.

The correct answer is

3.5

:)

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