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# clarification needed : In list S, the mean and median and mode are all equal to one another. What is the value of X?

S = {16, 9, 23, X, 13, 16}

In list S, the mean and median and mode are all equal to one another. What is the value of X?

When X is unknown, how can u assume mode as 16 straightly looking at the set.
If X could be 9 or 23 and then there will be two mode right.

Author
mohd rafi

Posted Jun 13, 2016

### 1 Explanation

3 Cydney Seigerman, Magoosh Tutor

Hi Mohd :)

Good question! If X were any other number in the original set other than 16, you're correct that there would be two modes. However, if there were two modes, then the statement int the prompt could not be true: the median, mean, and mode could not be equal, because while there would be two modes, the median and mean cannot be two values at the same time. For that reason, X must be 16 or a number not in the original set.

I hope this helps :)

Jun 14, 2016 • Comment

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