Use the images to answer the question.

A histogram is titled 'Exam Scores per Student in Mr. Hanley's Class.' The x-axis ranges from 40 to 100 by 10-unit increments and the y-axis ranges from 0 to 8 by 2-unit increments. The x-axis is labeled 'Exam Scores' and the y-axis is unlabeled.

A histogram is titled 'Exam Scores per Student in Ms. Blach's Class.' The x-axis ranges from 40 to 100 by 10-unit increments and the y-axis ranges from 0 to 5 by increments of 1. The x-axis is labeled 'Exam Scores' and the y-axis is unlabeled.

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. In 3–5 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.

(4 points)

1 answer

When comparing the histograms for Mr. Hanley's and Ms. Blach's classes, it's evident that Mr. Hanley's class had a higher number of students achieving higher scores. His histogram shows peaks in the 80-89 range with several students scoring above 90, indicating a strong performance overall, as evidenced by the taller bars towards the upper end of the score range. In contrast, Ms. Blach's class displays a lower peak in the 70-79 range and fewer higher scores, suggesting that her class generally scored lower than Mr. Hanley’s class. Based on this analysis, it can be concluded that Mr. Hanley's class performed better on the exam, as indicated by the distribution and concentration of scores.