The population mean (μ) is: 74
The standard deviation (σ) is: 30.6
There is an outlier, 15.
Population mean (μ) = sum of data points / number of data points
Standard deviation (σ) = √(sum of squares/number of data points) = √(SS/n)
Given the data, 15, 75, 88, 92, 100:
Population mean (μ) = (15 + 75 + 88 + 92 + 100)/5 = 74
Standard deviation (σ) = √(4678/5)
σ = √935.6
σ = 30.6
15 is more smaller compared to most of the data points in the data, so, it is an outlier.
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