In a data set, if the mode is 15 and the mean is 20, what can be said about the

Practice Questions

Q1
In a data set, if the mode is 15 and the mean is 20, what can be said about the data?
  1. Positively skewed
  2. Negatively skewed
  3. Symmetrical
  4. Uniform

Questions & Step-by-Step Solutions

In a data set, if the mode is 15 and the mean is 20, what can be said about the data?
  • Step 1: Understand what mode means. The mode is the number that appears most often in a data set. In this case, the mode is 15.
  • Step 2: Understand what mean means. The mean is the average of all the numbers in the data set. Here, the mean is 20.
  • Step 3: Compare the mean and the mode. The mean (20) is greater than the mode (15).
  • Step 4: Know what positive skew means. A positively skewed data set has a longer tail on the right side, meaning there are some higher values that pull the mean up.
  • Step 5: Conclude that since the mean is greater than the mode, the data is positively skewed.
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