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

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

Options:

Correct Answer: Skewed right

Solution:

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

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

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

Correct Answer: Data is skewed right.

Step 1: Understand what mean and median are. The mean is the average of all numbers, and the median is the middle number when all numbers are arranged in order.
Step 2: Identify the values given in the question. The mean is 20 and the median is 18.
Step 3: Compare the mean and median. Since 20 (mean) is greater than 18 (median), this indicates a certain distribution of the data.
Step 4: Recognize that when the mean is greater than the median, it often means that there are some higher values in the data set that are pulling the mean up.
Step 5: Conclude that the data is likely skewed to the right, meaning there are some unusually high values that affect the average more than the middle value.

Mean vs. Median – Understanding the relationship between mean and median helps identify the skewness of a data set.
Skewness – Right skewness indicates that there are outliers or a longer tail on the right side of the distribution.