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Mean, Median and Mode · Question 43 of 67

Question 43

MediumOriginal question

In a 100 m race the nine finishing times (in seconds) were 12.8, 13.1, 13.3, 13.5, 13.6, 13.9, 14.0, 14.4 and 15.2. The runner who clocked 15.2 s was later disqualified. What is the median of the remaining eight times?

Options for question 43

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Eight times remain: 12.8, 13.1, 13.3, 13.5, 13.6, 13.9, 14.0, 14.4.

  2. Median = average of the 4th and 5th = 13.5+13.62=13.55\frac{13.5 + 13.6}{2} = 13.55 s.

Worth noting

13.6 s is the old median. 13.75 s is what you get if the fastest time is removed instead of the slowest.

Concept
Removing a value can move the median
Typical time
70 s
Your time
—
The rule this testsWhen values change
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Ten questions from Mean, Median and Mode, at your own pace.

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Ten questions from Mean, Median and Mode, at your own pace.

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