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Chapter 2: Q. 67 (page 137)

Of the three measures, which tends to reflect skewing the most, the mean, the mode, or the median? Why?

Short Answer

Expert verified

The outliers have the greatest impact on the mean, therefore mean tends to reflects skewing the most.

Step by step solution

01

Introduction

The Mean of the data is calculated by adding all numbers in the data set and then dividing by the number of values in the set.

The Median is the mid value of a data set and it is calculated by arranging the data set in ascending order (i.e., least to greatest).

The Mode is the most frequent number occurring in the data set.

02

Explanation

The mean is generally less than the median, which is frequently less than the mode if the data distribution is tilted to the left.

The mode is generally less than the median, which is less than the mean when the data distribution is skewed to the right.

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