In a set of numbers, if the mean is greater than the median, what can be inferre
Practice Questions
Q1
In a set of numbers, if the mean is greater than the median, what can be inferred about the distribution?
The distribution is symmetric.
The distribution is positively skewed.
The distribution is negatively skewed.
The distribution is uniform.
Questions & Step-by-Step Solutions
In a set of numbers, if the mean is greater than the median, what can be inferred about the distribution?
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 that the average is higher than the middle value.
Step 3: Think about what this means for the numbers. If the mean is higher, it suggests that there are some larger numbers that are pulling the average up.
Step 4: Recognize that this situation often happens in a positively skewed distribution, where most numbers are lower, but a few are much higher.
Step 5: Conclude that if the mean is greater than the median, the distribution of the numbers is likely positively skewed.
