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Basic Statistics 2 (Posted on 2007-04-20) Difficulty: 2 of 5
A set of numbers {10, 21, 17, 12, x} has the property that the mean is equal to the median.

What could the value of x be?

See The Solution Submitted by Brian Smith    
Rating: 3.0000 (1 votes)

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Solution solution | Comment 2 of 7 |

If x itself is to be the mean and median, then it must be the mean of the other four numbers: (10+21+17+12)/4 = 15.

If, however, the second lowest number, 12, is to be made the mean and median by making x less than that value, then (x+10+17+21)/4 = 12, or x+48 = 48, or x = 0.

Finally, if the second highest number, 17, is to be made the mean and median by making x larger than that value, then (x+10+12+21)/4 = 17, or x+43 = 68, or x = 25.

  Posted by Charlie on 2007-04-20 11:16:22
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