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Test
Math
Domain
Problem-Solving and Data Analysis
Skill
One-variable data: Distributions and measures of center and spread
Difficulty
Hard
ID: d3b9c8d8
Modded SAT Question Bank by Abdullah Mallik

  • From left to right the values of the vertical bars in the Group 1 box plot are as follows:
    • First vertical bar: 21
    • Second vertical bar: 22
    • Third vertical bar: 25
    • Fourth vertical bar: 26
    • Fifth vertical bar: 28
  • From left to right the values of the vertical bars in the Group 2 box plot are as follows:
    • First vertical bar: 22
    • Second vertical bar: 23
    • Third vertical bar: 24
    • Fourth vertical bar: 25
    • Fifth vertical bar: 28

The box plots summarize the masses, in kilograms, of two groups of gazelles. Based on the box plots, which of the following statements must be true?

  1. The mean mass of group 1 is greater than the mean mass of group 2.

  2. The mean mass of group 1 is less than the mean mass of group 2.

  3. The median mass of group 1 is greater than the median mass of group 2.

  4. The median mass of group 1 is less than the median mass of group 2.

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Correct Answer: C
Rationale

Choice C is correct. The median of a data set represented in a box plot is represented by the vertical line within the box. It follows that the median mass of the gazelles in group 1 is 25 kilograms, and the median mass of the gazelles in group 2 is 24 kilograms. Since 25 kilograms is greater than 24 kilograms, the median mass of group 1 is greater than the median mass of group 2.

Choice A is incorrect. The mean mass of each of the two groups cannot be determined from the box plots.

Choice B is incorrect. The mean mass of each of the two groups cannot be determined from the box plots.

Choice D is incorrect and may result from conceptual or calculation errors.

Question Difficulty: Hard
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