In a set of numbers, if the mean is greater than the median, what can be inferre

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Question: In a set of numbers, if the mean is greater than the median, what can be inferred about the distribution?

Options:

Correct Answer: The distribution is positively skewed.

Solution:

If the mean is greater than the median, it indicates that the distribution is positively skewed.

In a set of numbers, if the mean is greater than the median, what can be inferred about the distribution?

In a set of numbers, if the mean is greater than the median, what can be inferred about the distribution?

Step 1: Understand what mean and median are. The mean is the average of all numbers, and the median is the middle number when the numbers are arranged in order.
Step 2: Compare the mean and median. If the mean is greater than the median, it means that the average is higher than the middle value.
Step 3: Think about what this means for the numbers. If the mean is higher, it suggests that there are some larger numbers that are pulling the average up.
Step 4: Recognize that this situation often happens in a positively skewed distribution, where most numbers are lower, but a few are much higher.
Step 5: Conclude that if the mean is greater than the median, the distribution of the numbers is likely positively skewed.

Mean vs. Median – Understanding the relationship between mean and median helps in identifying the skewness of a distribution.
Skewness – Positive skewness indicates that the tail on the right side of the distribution is longer or fatter than the left side.