ACT Math · Statistics and data analysis

Team A has an average score of 82 over 10 games. Team B has an average score of 78 over 15 games. By how much does Team A's average exceed…

Team A has an average score of 82 over 10 games. Team B has an average score of 78 over 15 games. By how much does Team A's average exceed Team B's average?

Answer and explanation

Answer: B: 4

The question compares the two averages directly, so no weighting by the number of games is needed. Team A's average exceeds Team B's by 82−78=482-78=4, choice B. The numbers of games (10 and 15) would matter only if the question asked for a combined average of both teams. Choice A (22) subtracts incorrectly. Choice C (55) is the difference between the numbers of games. Choice D (88) is the difference 82−7482-74, or twice the correct difference. Be careful to answer what is asked and ignore irrelevant details.

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