Question for-a-
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.
| Score | Score Frequencies | |
|---|---|---|
| Group A | Group B | |
| 2 | 1 | 0 |
| 3 | 1 | 0 |
| 4 | 2 | 0 |
| 5 | 1 | 4 |
| 6 | 3 | 2 |
| 7 | 0 | 0 |
| 8 | 0 | 2 |
| 9 | 1 | 1 |
| 10 | 0 | 2 |
| Total | 9 | 11 |
The median of the scores for group B is how much greater than the median of the scores for group A?
For a certain computer game, individuals receive an integer score that ranges from 2 through 10.
Hard-difficulty · SAT Math · One-Variable Data & Statistics — Mean, median, mode, range. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
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 
more than the median score for group A.
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