In a data set, if the mean is 50 and the median is 45, what can be inferred abou

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Question: In a data set, if the mean is 50 and the median is 45, 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, if the mean is 50 and the median is 45, what can be inferred about the data?

In a data set, if the mean is 50 and the median is 45, what can be inferred about the data?

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 50 and the median is 45.
Step 4: Notice that the mean (50) is greater than the median (45).
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 likely skewed to the right, meaning there are some unusually high values.

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 on the higher end of the data distribution.