Can you find the average?
Number Theory
Level
1
The teacher writes 12 integers on the whiteboard and asks Willams to calculate the average (rounded to the nearest hundredths. Willams answer is 11.29. The teacher says the hundredths decimal place is wrong but all the other digits are right. What should the correct answer be?
11.29
11.2
11.25
11.22
11.23
11.24
11.28
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1 solution
First of all, the minimum possible answer to this question would be 12 times 11.2, which would equal 134.4, and the maximum possible answer would be 12 times 11.28 (the teacher said that 11.29 was wrong), which would equal 135.36 and the only integer between 134.4 and 135.36 would be 135, and 135 divided by 12 would be 11.25, so 11.25 would be the answer.