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Mean, Median and Mode · Question 15 of 67

Question 15

MediumOriginal question

For a moderately skewed distribution of train delays, the mean exceeds the mode by 18 minutes. By how many minutes does the mean exceed the median?

Options for question 15

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. From Mode = 3 Median − 2 Mean: Mean − Mode = 3(Mean − Median).

  2. So Mean − Median = 183=6\frac{18}{3} = 6 minutes.

Worth noting

12 minutes is Median − Mode, the other part of the gap. 54 minutes multiplies by 3 instead of dividing, and 9 minutes simply halves the gap.

Concept
Empirical relation written as Mean − Mode = 3(Mean − Median)
Typical time
70 s
Your time
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The rule this testsMean, median and mode
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