24. Christopher looked at his quiz scores shown below for the first and second semester of his Algebra class. Semester \( 1: 78,91,88,83,94 \) Semester 2: \( 91,96,80,77,88,85 \), 92 Which statement about Christopher's performance is correct? A. The interquartile range for semester 1 is greater than the interquartile range for semester 2 . B. The median score for semester 1 is greater than the medianscore for semester 2 . C. The mean score for semester 2 is greater than the mean score for semester 1 . D. The third quartile for semester 2 is greater than the third quartile for semester 1 .

Let's break down Christopher's quiz scores for each semester to reveal how he fared! In the first semester, his scores are \( 78, 91, 88, 83, 94 \). When we arrange these, we get \( 78, 83, 88, 91, 94 \). The median (middle value) is \( 88 \), and the quartiles show that the interquartile range (IQR) is \( 94 - 83 = 11 \). For the second semester, his scores are \( 77, 80, 85, 88, 91, 96 \). Arranging these gives us \( 77, 80, 85, 88, 91, 96 \). The median is \( 86.5 \), and the IQR is \( 91 - 80 = 11 \). Now, determine the mean: Semester 1 mean is \( 86.8 \) and Semester 2 mean is \( 87.2 \). So the correct answer is C: The mean score for semester 2 is greater than the mean score for semester 1. To summarize, Christopher has a consistent performance with scores in both semesters, and knowing how to calculate medians and means can help in tracking progress effectively! Now, if only they could put algebra problems on TikTok! Wouldn't that make math class way more engaging? Just imagine balancing equations while doing a little dance!