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?
- 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.
- City A and City B have equal spread, because both histograms represent a total of 20 days.
- 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).
- 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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