Question

One thousand and twenty students participated in the school math contest.

Sample 1 is a random sample from grades 9 and 10 and consists of the following scores: 72, 89, 67, 81, 75, 79, 81, 80, 62, 64, 83.

Sample 2 is a random sample from grades 11 and 12 and consists of the following scores: 84, 86, 87, 84, 86, 89, 90, 87, 87, 84, 86.

Choose the following statements that correctly compare the two samples.
Check all that are true.

A). Sample 2 shows 11th and 12th grade students, on average, did better.

B) . Sample 1 has a higher probability than Sample 2.

C). The measure of center is the same for both samples.

D). Sample 1 shows 9th and 10th grade students, on average, did better.

E). Sample 2 has a higher median score than Sample 1.

Answer 1

With the way its set up I would have to say the answer id E. due to the fact that the average, or median is higher in sample 2.

Answer 2

E)- Sample 2 has a higher median score than Sample 1.

Explanation:

For comparing both samples by the median, We are more clear that Sample 2 (grades of 11th and 12th) is better than Sample 1 (grades of 9th and 10th).

We didn't choose other options because neither only seeing the samples nor by measuring the probability of both samples We do a better comparison of both the samples.

Also by measuring the mean and median of the both given samples we get both Option C and D are incorrect.