Mr. Hanley and Ms. Balch gave the same Algebra ﬁnal exam to their classes. The histograms show the distribution of the scores for each class. One of the classes will get extra tutoring following the exam to help them with the topics they missed on the exam. Which class likely needs more tutoring help, and why? (1 point) Responses Ms. Balch’s class needs the tutoring because the class data is skewed right, and her class median is lower. Ms. Balch’s class needs the tutoring because the class data is skewed right, and her class median is lower. Mr. Hanley’s class needs the tutoring because the class data is skewed left, and his class median is higher. Mr. Hanley’s class needs the tutoring because the class data is skewed left, and his class median is higher. Ms. Balch’s class needs the tutoring because the class data is skewed left and her class median is higher. Ms. Balch’s class needs the tutoring because the class data is skewed left and her class median is higher. Mr. Hanley’s class needs the tutoring because the class data is skewed right and his class median is lower.

Question

GPT-4o mini · Answer

From the responses provided, the most likely conclusion is that Ms. Balch’s class needs the tutoring because the class data is skewed right, and her class median is lower.

A right-skewed distribution indicates that there are some high scores that are pulling the mean up, but most of the scores are lower. A lower median also suggests that the majority of the students did not perform well, meaning they may need additional tutoring to improve their understanding of the material.

In contrast, if Mr. Hanley's class had a skewed left distribution, that would typically indicate that more students scored higher, suggesting they may not need as much help. Thus, the correct reasoning points to Ms. Balch’s class as needing the extra tutoring.