Question

The scores 4, 6, x, 8, 10 are written in

ascending order. Find the value of x if
the mean of the set equals the median.

Answer 1

The value of x in the set of scores is 7.

Step-by-step explanation:

Since the scores are written in ascending order, the median is the middle score. In this case, the median is x. The mean of the set is found by adding up all the scores and dividing by the total number of scores. In this case, the mean is (4 + 6 + x + 8 + 10) / 5.

For the mean to equal the median, the median must also be equal to the mean. So, we can set up the equation x = (4 + 6 + x + 8 + 10) / 5.

Simplifying the equation gives us: 5x = 28 + x. Solving for x, we get x = 7.

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