Question

A data set contains student test scores. • The median test score is 75 points. The third quartile value is 85 points. The range of the test scores is 40 points. Which statement about the test scores in the data set is most likely true?

A The lowest test score is 45 points.
B About 25% of the test scores are between 75 and 85 points
C The highest test score is 95 points.
D About 25% of the test scores are less than 55 points​

Answer 1

The answer to your problem is, A. D.

Explanation:

Median: 75

Quartile Value: 85
Range: 40

We can use this info to make some inferences about the test scores in our dataset.

Firstly, the range of the test scores, is 40 points, so the lowest test score must be 75 - 20 = 55 points, and the highest test score must be 75 + 20 = 95 points. Therefore the highest test score is 95

The third quartile value is 85 points, which means that 75% of the test scores are less than or equal to 85 points. Since the median test score is 75 points, we can infer that 50% of the test scores are less than or equal to 75 points. Therefore, the remaining 25% of the test scores must be between 75 and 85 points. Thus, about 25% of test scores are in between 75 and 85. The third option is incorrect, as the lowest possible test score is 55 points, which is greater than 50 points.