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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: 94237701
Modded SAT Question Bank by Abdullah Mallik

For a certain computer game, individuals receive an integer score that ranges from 2 through 10. The table below shows the frequency distribution of the scores of the 9 players in group A and the 11 players in group B.

ScoreScore Frequencies
Group AGroup B
210
310
420
514
632
700
802
911
1002
Total911

 

 

The median of the scores for group B is how much greater than the median of the scores for group A?

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Correct Answer:
Rationale

The correct answer is 1. When there are an odd number of values in a data set, the median of the data set is the middle number when the data values are ordered from least to greatest. The scores for group A, ordered from least to greatest, are 2, 3, 4, 4, 5, 6, 6, 6, and 9. The median of the scores for group A is therefore 5. The scores for group B, ordered from least to greatest, are 5, 5, 5, 5, 6, 6, 8, 8, 9, 10, and 10. The median of the scores for group B is therefore 6. The median score for group B is 6 minus 5, equals 1 more than the median score for group A.

Question Difficulty: Hard
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