Which measure of dispersion is affected by extreme values?

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Question: Which measure of dispersion is affected by extreme values?

Options:

Correct Answer: All of the above

Solution:

All of these measures are affected by extreme values in the data set.

Which measure of dispersion is affected by extreme values?

Which measure of dispersion is affected by extreme values?

Step 1: Understand what measures of dispersion are. These are statistics that show how spread out the data is.
Step 2: Identify common measures of dispersion, such as range, variance, and standard deviation.
Step 3: Learn what extreme values (or outliers) are. These are values that are much higher or lower than most of the other values in the data set.
Step 4: Recognize that extreme values can pull the average or spread of the data in one direction.
Step 5: Conclude that all measures of dispersion (range, variance, standard deviation) can be affected by these extreme values.

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