Question

The mean score of 8 players is 14.5. If the highest individual score is removed the mean of the score of the remaining 7 players is 12. What is the highest score.

Answer 1

The highest score is 32.

Explanation:

We are given the following in the question:

The mean score of 8 players is 14.5.

Let x denote the highest score.

If x is removed, the mean of the score of the remaining 7 players is 12.

Formula for mean:

`\bar{x} = (\displaystyle\sum x_i)/(n)`

Putting values, we get:

`14.5 = (\displaystyle\sum x_i)/(8)\\\\\Rightarrow \displaystyle\sum x_i = 116\\\\12 = (\displaystyle\sum y_i)/(7)\\\\\Rightarrow \displaystyle\sum y_i = 84\\\\\displaystyle\sum y_i = \displaystyle\sum x_i -x \\\\84 = 116 - x\\\Rightarrow x = 32`

Thus, the highest score is 32.