In a data set, the mean is 20 and the median is 18. What can be said about the d

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Question: In a data set, the mean is 20 and the median is 18. What can be said about the data?

Options:

Correct Answer: Positively skewed

Solution:

Since the mean is greater than the median, the data is positively skewed.

In a data set, the mean is 20 and the median is 18. What can be said about the data?

In a data set, the mean is 20 and the median is 18. What can be said about the data?

Correct Answer: Data is positively skewed.

Step 1: Understand what the mean is. The mean is the average of all the numbers in the data set.
Step 2: Understand what the median is. The median is the middle number when all the numbers are arranged in order.
Step 3: Compare the mean and the median. In this case, the mean is 20 and the median is 18.
Step 4: Notice that the mean (20) is greater than the median (18).
Step 5: Recognize that when the mean is greater than the median, it usually indicates that there are some higher values in the data set that are pulling the mean up.
Step 6: Conclude that the data is positively skewed, meaning it has a longer tail on the right side.

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