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The box plots below show the math scores of students in two different classes:

Class A 55 72 75 89 95
Class B 55 70 75 94 100

Based on the box plots, which statement is correct?

A: The median score of Class A is greater than the median score of Class B.
B: The lower quartile of Class A is greater than the lower quartile of Class B.
C: The upper quartile of Class A is greater than the upper quartile of Class B.
D: The maximum score of Class A is greater than the maximum score of Class B.

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Answer:

B

Step-by-step explanation:

1. Class A:

  • the median is 75;
  • the lower quartile is 72;
  • the upper quartile is 89;
  • the maximum score is 95.

2. Class B:

  • the median is 75;
  • the lower quartile is 70;
  • the upper quartile is 94;
  • the maximum score is 100.

A. The median score of Class A is equal to the median score of Class B (75=75). This option is false.

B. The lower quartile of Class A is greater than the lower quartile of Class B. True option (72>70).

C. The upper quartile of Class A is greater than the upper quartile of Class B. False, because 89<94.

D: The maximum score of Class A is greater than the maximum score of Class B. False, because 95<100.

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Answer:

b

Step-by-step explanation: