Multiple choice

Ten observation 6, 14, 15, 17, x+1, 2x-13, 30, 32, 34, 43 are written is ascending order. The media of the data is 24. The mean of the data is _________.

  1. 20

  2. 23.9

  3. 25

  4. 27
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B Correct answer
Explanation

The median condition gives x = 20, so the two variable observations are 21 and 27. Their total sum is 239, and the mean is 239/10 = 23.9.

AI explanation

Because there are 10 observations, the median is the average of the 5th and 6th terms, so (x plus 1) plus (2x minus 13) equals 24 times 2. Solving 3x minus 12 equals 48 gives x equals 20. The observations are 6, 14, 15, 17, 21, 27, 30, 32, 34 and 43, and their sum is 239; dividing 239 by 10 gives a mean of 23.9.

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