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?

average golf score = summation of the golf scores/ number of items or golf scores
where:
total score = 120+112+130+128+124+x
number of items = 6
average score = 118
substituting the requirements:
x = 94

Jacob will need a golf score of 94 to achieve the average of 118

Answer Link

ap8997154 ap8997154 · Answer 2 · 2022-02-01T07:44:00+01:00

Jacob needs to score 94 in his next golf game to achieve a mean of 118.

What is Mean (Average)?

The mean is the average of all the observations of a set of numbers. it is found by dividing the sum of all the observations of the set by the number of observations in the set.

[tex]\rm{Arithmetic\ mean=\dfrac{Sum\ of\ observations}{Number\ of\ observations}[/tex]

Jacob needs to score 94 in his next golf game to achieve a mean of 118.

Given to us

Jacob has golf scores of 120, 112, 130, 128, and 124.
Jacob wants to have a mean, or average, golf score of 118.

Assumption

Let the score in Jacob's next game be x.

The mean of Jacob all scores

[tex]\rm Mean =\dfrac{\text{Sum of all the scores of Jacob}}{\text{Number of Games played by Jacob}}[/tex]

[tex]118 = \dfrac{120+112+130+128+124+x}{6}\\\\118\times 6 = 120+112+130+128+124+x\\\\708=614+x\\\\x = 708-614 = 94[/tex]

Hence, Jacob needs to score 94 in his next golf game to achieve a mean of 118.

Learn more about Mean:

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