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

Answer:

The highest score is 32.

Step-by-step 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:

$\bar{x} = \dfrac{\displaystyle\sum x_i}{n}$

Putting values, we get:

$14.5 = \dfrac{\displaystyle\sum x_i}{8}\\\\\Rightarrow \displaystyle\sum x_i = 116\\\\12 = \dfrac{\displaystyle\sum y_i}{7}\\\\\Rightarrow \displaystyle\sum y_i = 84\\\\\displaystyle\sum y_i = \displaystyle\sum x_i -x \\\\84 = 116 - x\\\Rightarrow x = 32$

Thus, the highest score is 32.