The highest score is 32 points.
Given,
Mean score of 8 players =14.5
After removing highest score then,
Mean score of 7 players =12
let
the sum of all score be 'x'
highest score be 'y'
At first,
[tex]Mean=\frac{sum\ of\ all\ scores}{total\ number\ of\ scores}\\\\14.5=\frac{x}{8}\\\\x=116[/tex]
after removing the highest score, mean will be
[tex]Mean=\frac{sum\ of\ all\ scores-highest\ score}{number\ of\ scores}\\\\12=\frac{x-y}{7}\\\\x-y=84[/tex]
substituting 'x'
[tex]116-y=84\\\\116-84=y\\\\y=32[/tex]
Thus, the highest score is 32 points.
To learn more about mean refer here
https://brainly.com/question/28506504
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