SAT question 94237701 (Distributions, Center & Spread)

Question

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	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?

College Board · Accepted Answer

The correct answer is 1. 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 - 5 = 1 more than the median score for group A.

CookSAT · Answer

Note: Repeat each score according to its frequency before taking the two medians and subtracting them.

Explanation

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SAT Question 94237701: Distributions, Center & Spread answer and explanation with Desmos solution

Explanation

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