medium · SAT Math

Two cities each recorded their daily high temperature (degrees F) for 20 days. The histograms below show the distributions. City A -- Daily High Temperature (F) vs. Number of Days Bin (F) Frequency (days) 60-64 2 65-69 5 70-74 9 75-79 3 80-84 1 (Total days = 20) City B -- Daily High Temperature (F) vs. Number of Days Bin (F) Frequency (days) 65-69 4 70-74 12 75-79 4 (Total days = 20) Based on the histograms, which statement is best supported by the data?

1. City B's temperatures show greater spread than City A's, because more of City B's days fall in its middle interval (70-74 F) than in City A's middle interval.
2. City A and City B have equal spread, because both histograms represent a total of 20 days.
3. City B's temperatures show greater spread than City A's, because City B's tallest bar has a higher frequency (12 days) than City A's tallest bar (9 days).
4. City A's temperatures show greater spread than City B's, because City A's nonzero bars extend across a wider range of bins (60-84 F) than City B's (65-79 F).

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