Question: In a data set, if the mean is 30 and the median is 25, what can be inferred?
Options:
Data is skewed right
Data is skewed left
Data is symmetric
Data is uniform
Correct Answer: Data is skewed right
Solution:
Since the mean is greater than the median, the data is skewed to the right.
In a data set, if the mean is 30 and the median is 25, what can be inferred?
Practice Questions
Q1
In a data set, if the mean is 30 and the median is 25, what can be inferred?
Data is skewed right
Data is skewed left
Data is symmetric
Data is uniform
Questions & Step-by-Step Solutions
In a data set, if the mean is 30 and the median is 25, what can be inferred?
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 30 and the median is 25.
Step 4: Notice that the mean (30) is greater than the median (25).
Step 5: Recognize that when the mean is greater than the median, it often indicates that there are some larger 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 high values that affect the average.
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.
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