Question

What happens to the variance when outliers are eliminated & replaced by values closer to the...

What happens to the variance when outliers are eliminated & replaced by values closer to the mean?

A. It depends on the size of your sample
B. Increases
C. Decreases

Homework Answers

Answer #1

Answer : (C) Decreases

The variance will decrease when outliers are eliminated & replaced by values closer to the mean.

Variance (σ2) is a measurement of the spread between numbers in a data set. It measures how far each number in the set is from the mean ,and is calculated by taking the differences between each number in the set and the mean, squaring the differences (to make them positive) and dividing the sum of the squares by the number of values in the set. Hence we choose value closer to mean, the variance will obviously decreases

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