In a data set, the mean is 20 and the median is 18. What can be inferred about t

Practice Questions

Q1
In a data set, the mean is 20 and the median is 18. What can be inferred about the data?
  1. Skewed right
  2. Skewed left
  3. Symmetric
  4. Uniform

Questions & Step-by-Step Solutions

In a data set, the mean is 20 and the median is 18. What can be inferred about the data?
Correct Answer: Data is skewed right.
  • Step 1: Understand what mean and median are. The mean is the average of all numbers, and the median is the middle number when all numbers are arranged in order.
  • Step 2: Identify the values given in the question. The mean is 20 and the median is 18.
  • Step 3: Compare the mean and median. Since 20 (mean) is greater than 18 (median), this indicates a certain distribution of the data.
  • Step 4: Recognize that when the mean is greater than the median, it often means that there are some higher values in the data set that are pulling the mean up.
  • Step 5: Conclude that the data is likely skewed to the right, meaning there are some unusually high values that affect the average more than the middle value.
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