Question

A school district wanted to compare ACT scores between two of its schools (school A and school B). The dotplots below summarize the ACT scores for simple random samples of 30 students from each school.

2 dotplots. The mean score for the sample from school A is greater than the mean score the sample from school B.

The median score was 22 for both samples. Which of the following statements is true about the mean ACT for each sample?

The mean score for the sample from school A is equal to the mean score for the sample from school B.
The mean score for the sample from school A is less than the mean score for the sample from school B.
The mean score for the sample from school A is greater than the mean score for the sample from school B.
We cannot determine the relationship between the mean ACT scores without knowing the actual scores on the exam.

Answer 1

Answer: C

Explanation:

School A-

Total Score =19+19+19+20+20+20+20+21+21+21+21+21+21+22+22+22+22+22+22+23+24+24+26+27+29+30+31+32+33+34=708

No. of students = 30

Mean = 708/30 = 23.6

School B-

Total Score =17+18+19+20+20+20+21+21+21+21+22+22+22+22+22+22+23+23+23+24+24+25+25+26+26+27+27+28+29+31=691

No. of students = 30

Mean = 691/30 = 23.03

So, the third option is correct: The mean score for the sample from school A is greater than the mean score for the sample from school B.