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.

Question

Exam Scores per Student in
Mr. Hanley's Class
5-
3-
2-
Exam Scores per Student in
Ms. Balch's Class
0
40
50
60
70
80
90
100
40
50
60
Exam Scores
70 Exam Scores
80
90
100

Answer 1

Without being able to see the actual histograms, I can provide a framework for your analysis based on common statistical interpretations of histograms.

Generally, if Mr. Hanley's class shows a higher concentration of scores in the upper range (70-100) compared to Ms. Balch's class, it suggests that Mr. Hanley's students performed better overall. Additionally, if the histogram for Mr. Hanley displays fewer low scores (indicating a lack of skewness or a more symmetric distribution), and if the median score is higher in his class, this would further support the assertion that his class had stronger performance. Conversely, if Ms. Balch’s class has a significant number of students scoring very low, this could indicate issues in understanding the material, suggesting Mr. Hanley’s students performed better.

In conclusion, by analyzing the peaks of the histograms, the spread, and the median scores, we would be able to determine which class performed better. If you can provide specific details from the histograms, I can help make a more precise assessment.