Mr. Hanley and Ms. Balch gave an identical Algebra final exam to their classes. The histograms show the distribution of the scores for each class.

Mr. Hanley’s class’ scores:
1 person got a 40-50. 0 people got a 50-60, or a 60-70. 2 people got a 70-80. 4 people got an 80-90. 7 people got a 90-100.

Ms. Balch’s class’ scores:
1 person got a 40-50. 2 people got a 50-60. 5 people got a 60-70. 0 people got a 70-80. 2 people got an 80-90. 1 person got a 90-100.

In 3 short, simple sentences, compare the histograms and explain which class you think performed better on the exam. Use information from the histograms such as data skew as well as median scores for both classes to justify your response.

1 answer

Mr. Hanley's class had a higher concentration of students scoring in the upper range, with 7 students achieving scores of 90-100, while Ms. Balch's class had a wider distribution of scores but fewer high scores, with only 1 student scoring in the 90-100 range. The median score for Mr. Hanley's class is likely higher due to the larger number of students scoring in the 80-90 and 90-100 ranges, compared to a more balanced but lower performance in Ms. Balch's class. Overall, Mr. Hanley's class performed better on the exam, as evidenced by their stronger scores at the high end and the lack of students in the lower score ranges.