Find the median of the following observations: 7, 9, 12, 9, 14, 16, 9, 20.

9Correct answerYour answer10.5Correct answerYour answer12Correct answerYour answer13Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Arrange the values in order first: 7, 9, 9, 9, 12, 14, 16, 20.
There are 8 observations, an even number, so the median is the mean of the 4th and 5th values.
Those are 9 and 12, so the median is $\frac{9 + 12}{2} = 10.5$ .

Worth noting

The 9 on offer is the mode, the value that appears most often, and the 12 is the mean, $\frac{96}{8} = 12$ . All three are measures of central tendency and all three are different here, which is exactly why the question names one.

Concept: Median of an even number of observations
Typical timeTypical: 70 s
Your timeYours: —

The rule this testsMean, median and mode

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

Find the median of the following observations: 7, 9, 12, 9, 14, 16, 9, 20.

Explanation