Question

Each year, the newspaper America at a Glance writes an article about the performance of students on a particular nationwide math test. Included in t

this year was the following frequency distribution. It summarizes the test scores from a study which looked at 49 students who completed preperacion
for the test.
Mathematics test score
550 to 599
600 to 649
650 to 699
700 to 749
750 to 799
Frequency
5
11
14
12
7
Based on the frequency distribution, using the midpoint of each data class, estimate the mean mathematics test score for the students in the study for your
intermediate computations, use four or more decimal places, and round your answer to one decimal place.

Answer 1

Answer: To find the mean test score, we need to calculate the sum of the product of each score and its corresponding frequency, and divide it by the total number of students.

To estimate the mean mathematics test score, we can use the midpoint of each data class as the value for each score and multiply it by the corresponding frequency.

For the first class, 550 to 599, the midpoint is (550+599)/2 = 574.5

For the second class, 600 to 649, the midpoint is (600+649)/2 = 624.5

For the third class, 650 to 699, the midpoint is (650+699)/2 = 674.5

For the fourth class, 700 to 749, the midpoint is (700+749)/2 = 724.5

For the fifth class, 750 to 799, the midpoint is (750+799)/2 = 774.5

The mean test score is:

(5574.5 + 11624.5 + 14674.5 + 12724.5 + 7*774.5) / 49 = 669.3

Therefore, the estimate of the mean mathematics test score for the students in the study is 669.3.

Explanation: