Answer
The following data give the ages of all eight from a Chinese Language class:
10, 27, 28, 29,31,32, 35, 55
Because the given data set includes all eight students of the class, it represents the population. Hence, N = 8 we have ∑x = 10 + 27 +28+29+31+32+35+55
= 247
The population mean is: $ μ = (∑x)/N=247/8=30.875 $
Reconsider the example given above, suppose the ages change into following:
27,27, 28, 29, 31, 32, 35, 35
∑x = 27 + 27 +28+29+31+32+35+35
= 244
The population mean is $μ = (∑x)/N=244/8=30.5$
As illustrated above, outliers can affect the values of the mean.
Work Step by Step
No