jacob has golf scores of 120, 112, 130, 128, and 124. he wants to have a mean, or average, golf score of…
jacob has golf scores of 120, 112, 130, 128, and 124. he wants to have a mean, or average, golf score of 118. what score does he need in his next golf game to achieve this mean score? needed in next golf game
Answer
Explanation:
Step1: Find the sum of existing scores
$120 + 112+130 + 128+124=614$
Step2: Let the score of the next - game be $x$. Set up the mean formula
The mean of all 6 scores (5 existing + 1 new) is $\frac{614 + x}{6}$, and we want this mean to be 118. So we have the equation $\frac{614 + x}{6}=118$.
Step3: Solve the equation for $x$
Multiply both sides of the equation by 6: $614+x = 118\times6$. $118\times6 = 708$, so $614+x=708$. Subtract 614 from both sides: $x=708 - 614$. $x = 94$.
Answer:
94