Averages · Question 27 · Hard

Averages question 27

A batter's average in 20 innings is 40. The difference between the highest and lowest scores is 98. Excluding these two innings, the average of the remaining 18 innings is 38. What is the highest score?

  1. 116
  2. 98
  3. 107
  4. 109
Answer and explanation

Answer: C. 107

Explanation: Total = 800; the other 18 innings total 684, so highest + lowest = 116. With highest − lowest = 98, highest = (116 + 98)/2 = 107.

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