Question

Dylan's mean (average) golf score is 81. This mean is based on playing 9 rounds ofgolf. Dylan plays another round of golf and gets a score of 73. What will be his newmean (average) golf score? (Round your answer to the nearest tenth, if necessary.)

Answer 1

Given a list of values, we can find the mean by adding them all and dividing them by the total elements in the list. In this case, the number of elements is the number of rounds, 9. Let's call x the sum of the scores in the 9 rounds. Then:

`(x)/(9)=81`

Now, we can find the sum of the scores in the 9 rounds:

`x=81\cdot9=729`

In the next round, the total number of rounds will be 10. And to find the new mean, we need to sum the scores of the first 9 rounds, plus the score of the 10th round (73), all this divided by the total number of rounds, 10:

`Mean=(729+73)/(10)=(802)/(10)=80.2`

The new mean is 80.2