In a data set, if the mean is 50 and the median is 45, what can be inferred abou

Practice Questions

Q1
In a data set, if the mean is 50 and the median is 45, 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, if the mean is 50 and the median is 45, what can be inferred about the data?
  • 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 50 and the median is 45.
  • Step 4: Notice that the mean (50) is greater than the median (45).
  • Step 5: Recognize that when the mean is greater than the median, it usually indicates that there are some higher 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 unusually high values.
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