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Mean, Median and Mode · Question 10 of 67

Question 10

MediumOriginal question

The rainfall (in mm) recorded at a hill station on six days was 16, 5, xx, 20, 9 and 12. The mean rainfall for the six days was 12 mm. What was the median rainfall?

Options for question 10

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Total = 6×12=726 \times 12 = 72, and the known values add to 62, so x=10x = 10.

  2. Sorted: 5, 9, 10, 12, 16, 20.

  3. Median = 10+122=11\frac{10 + 12}{2} = 11 mm.

Worth noting

10 mm is x, not the median. 15 mm averages the two middle entries of the unsorted list (10 and 20). 12 mm is the mean.

Concept
Finding a missing value from the mean, then the median
Typical time
70 s
Your time
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The rule this testsMean, median and mode
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Ten questions from Mean, Median and Mode, at your own pace.

Practise this chapter →

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