One-Variable Data: Distributions and Measures of Center and Spread

SAT Math· difficulty 4/5

A histogram has bins (using midpoints): 5 (8 students), 15 (12 students), 25 (5 students). What is the approximate mean?

  • A

    14

  • B

    12

    check_circle
  • C

    15

  • D

    10

Explanation

Sum 5(8)+15(12)+25(5)=40+180+125=345\approx 5(8) + 15(12) + 25(5) = 40 + 180 + 125 = 345. Count = 25. Mean 345/25=13.814\approx 345/25 = 13.8 \approx 14. Closest given is 14. (Recheck: 13.8 rounds to 14.) Correct answer: index 2 (14).

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