In a right-skewed distribution

Question

BlackTom AI · Accepted Answer

Consider the prompt: 'In a right-skewed distribution' with options provided.
Option 1: 'the median equals the arithmetic mean.' In a right-skewed distribution, the tail to the right drags the mean upward relative to the median, so this equality generally does not hold. This statement is false.
Option 2: 'the median is less than the arithmetic mean.' This aligns with the typical property of right-skewed (positively skewed) distributions, where extreme high values pull the mean above the median. This statement is true.
Option 3: 'none of the options are true.' Since there is at least one correct statement (Option 2), this option is false.
Option 4: 'the median is greater than the arithmetic mean.' This would be characteristic of a left-skewed distribution, not a right-skewed one, so this is incorrect.
Summarizing the reasoning: in a right-skewed distribution, the mean is influenced by high outliers and tends to be larger than the median, making the statement that the median is less than the mean correct, while the other statements misstate the standard relationship between mean and median in this skewed context.

COMM 291 Practice Quiz- Module 3

In a right-skewed distribution

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In a right-skewed distribution

View Explanation

Log in for full answers

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