Digital SAT 3, Math Module 2H, Question 22 (statistics)

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[OverclockingCowboy]

This is a CONCEPTUAL plug points into equation. The quick answer is 23/23 = 1, which is obtained by taking the differential mean. To further elaborate, we examine the samples in the groups that have the same number of frequency (3, 4, 7, 9). We then take the average of the difference of the samples. This is possible because the 2 data sets have the same distribution (similar groupings).
[3(20-19) + 4(30-29) + 7(40-39) + 9(50-49)] / 23 = (3+4+7+9)/23 = 1
If the question asks for the mean that will give the MAXIMUM difference, the answer is
23(29-10) / 23 = 19

If we examine the 2 data sets, they have shifted means. The shift equals 10. But they have the same standard deviation because the distribution of the samples around the mean is the same.

[deal]

what concept do i have to study more to be able to understand more about what this question is talking about

[heroryan]

I assigned values for each that fit in the ranges so like 11, 21, 32, 41, 51 and got a difference of 10

[railboat]

the hardest part about this question is that it looks easy, (I chose c in a hurry)

[RonaldMCDonaldinKayipCocugu]

How many questions estimated does have a difficulty this hard on the test usually ?

[question]

I did the test and scored 790 . I didn't know how to solve this question. And I made a silly mistake on another question. My maths is kinda good but I suck at English. Only got 660. I want to get 730 at least in the eng section.Also my exam is coming soon. It's in june. So are there any suggestions you can give me to do well in english? I am preparing through khan academy only.