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?
  1. Data is skewed right
  2. Data is skewed left
  3. Data is symmetric
  4. 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.
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