Respuesta :
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:
[tex]\bar{x} = \dfrac{\displaystyle\sum x_i}{n}[/tex]
Putting values, we get:
[tex]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[/tex]
Thus, the highest score is 32.
