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Chapter 1: Q 109. (page 74)

Which of the following is least affected if an extreme high outlier is added to your data?

(a) Median

(b) Mean

(c) Standard deviation

(d) Range

(e) Maximum

Short Answer

Expert verified

The correct option is (a) Median.

Step by step solution

01

The given information

An extreme high outliner is added to the data.

02

Concept

Statistical Measures are a descriptive-analytical technique that provides an overview of a data set's properties.

03

Explanation

Outliers don't affect the median, but they do affect the mean. Because the standard deviation is calculated from the mean, it is susceptible to outliers as well. The range would be affected by adding an extreme outlier since the data's dispersion would vary. The maximum value would likewise change, as it would become the new maximum. So, the median is the correct answer.

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