In a set of numbers, if the mean is greater than the median, what can be inferred about the distribution of the numbers?
Practice Questions
1 question
Q1
In a set of numbers, if the mean is greater than the median, what can be inferred about the distribution of the numbers?
The distribution is symmetric.
The distribution is skewed to the right.
The distribution is skewed to the left.
The distribution is uniform.
If the mean is greater than the median, it indicates that the distribution is skewed to the right, meaning there are outliers on the higher end.
Questions & Step-by-step Solutions
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Q
Q: In a set of numbers, if the mean is greater than the median, what can be inferred about the distribution of the numbers?
Solution: If the mean is greater than the median, it indicates that the distribution is skewed to the right, meaning there are outliers on the higher end.
Steps: 4
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 the average is higher than the middle value.
Step 3: Recognize what this comparison suggests about the numbers. A higher mean indicates that there are some larger numbers (outliers) that are pulling the average up.
Step 4: Conclude that the distribution of the numbers is skewed to the right. This means that there are more lower numbers and a few higher numbers that affect the mean.
