Question

Bernie played 3 rounds of golf, and the mean of his score was 78. If his lowest score was 74, what is the greatest possible value of his highest score?

Answer 1

85.

Explanation:

Let x represent Bernie's highest score.

We have been given that Bernie played 3 rounds of golf, and the mean of his score was 78. His lowest score was 74.

Since Bernie's lowest score is 74, so we can assume that his score on 2nd round would be 75.

Now, we will use mean or average formula to solve our given problem.

`\text{Mean}=\frac{\text{Sum of all data points}}{\text{Number of data points}}`

`78=(74+75+x)/(3)`

Let us solve for x.

`78\cdot 3=(74+75+x)/(3)\cdot 3`

`234=74+75+x`

`234=149+x`

`x=234-149`

`x=85`

Therefore, the greatest possible value of his highest score would be 85.