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A coach reported that the team scored an average (arithmetic mean) of 82 points in its last 10 games. However, it was later found that the coach entered 2 of the point totals wrongly. The #45 was entered as 65 and #86 as 76. The correct average is?

Feb 6th, 2015

Coach previously entered 82*10=820 points

But actually 45 was 65 and 86 was 76

The differences for those two games are 65-45=20 and 86-76=10

We need to subtract differences (20+10) from previously entered score (820)

820-(20+10)=790

Since 790 is the total score of 10 games,

the average is 

790/10=79

The answer: 79 points 

Feb 6th, 2015

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