SAT Math · One-variable data: distributions and measures of center and spread · medium

A histogram shows that 12 students scored between 70 and 80 on a test, and 8 students scored between 80 and 90. Based only on this…

A histogram shows that 12 students scored between 70 and 80 on a test, and 8 students scored between 80 and 90. Based only on this information, which statement is best supported?

Answer and explanation

Answer: D: More students scored in the 70-80 range than in the 80-90 range.

The histogram gives counts for ranges, not for individual scores. It shows 12 students in the 70-80 range and 8 in the 80-90 range, so more students scored in the 70-80 range, choice D. Choice A claims something about exact scores of 75, which grouped data cannot show. Choice B claims no one scored exactly 80, but a score of 80 might be placed in either bin depending on the boundary rule. Choice C claims the average was exactly 80, but without individual scores the average cannot be determined. Choose the claim that rests only on what the chart displays.

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