Question

Mathematics test score

550 to 599
Check
600 to 649
650 to 699
700 to 749
750 to 799
Frequency
6
10
15
12
8
ILL He test scores from a study which looked at 51 students who completed preparation
Students on a particular nationwide math test. Included in the ar
Based on the frequency distribution, using the midpoint of each data class, estimate the mean mathematics test score for the students in
intermediate computations, use four or more decimal places, and round your answer to one decimal place.

Answer 1

Answer: The estimated mean mathematics test score for the students is 685.7.

Step-by-step explanation: To estimate the mean mathematics test score, we can use the midpoint of each data class and the formula for calculating the weighted mean:

Midpoint of 550-599 class = (550 + 599) / 2 = 574.5

Midpoint of 600-649 class = (600 + 649) / 2 = 624.5

Midpoint of 650-699 class = (650 + 699) / 2 = 674.5

Midpoint of 700-749 class = (700 + 749) / 2 = 724.5

Midpoint of 750-799 class = (750 + 799) / 2 = 774.5

Weighted mean = (frequency of 550-599 class * midpoint of 550-599 class + frequency of 600-649 class * midpoint of 600-649 class + frequency of 650-699 class * midpoint of 650-699 class + frequency of 700-749 class * midpoint of 700-749 class + frequency of 750-799 class * midpoint of 750-799 class) / (total frequency)

Weighted mean = (6 * 574.5 + 10 * 624.5 + 15 * 674.5 + 12 * 724.5 + 8 * 774.5) / (6 + 10 + 15 + 12 + 8)

Weighted mean = 685.7 (rounded to one decimal place)

Therefore, the estimated mean mathematics test score for the students is 685.7