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Class Size Vs. Final Class Average: A Scatterplot

APSTAT-G9REGY

​Teachers at a large high school have become concerned that increasing class sizes hinder their ability to deliver quality instruction and consequently have a negative impact on student's grades.

To investigate, a committee of teachers selected a random sample of classes offered at the high school during the previous school year. For each class, they recorded the number of students in the class and the final average grade for students in the class (expressed as a percent). To reduce variability, they only selected classes considered to be at the "standard" level . No honors/advanced classes were included in their sample and no remedial/low level classes were included in their sample. A scatterplot of the data is shown below.

Created for Albert.io. Copyright 2016. All rights reserved.

Based upon the scatterplot, what can the committee conclude?

A

Being in a class with fewer students will enable students to earn better grades.

B

The pattern seen in the scatterplot proves that larger class sizes lead to lower average grades for students.

C

As the number of students in a class increases, the final average grade for students in the class tends to decrease.

D

Classes with fewer students tended to have lower final average grades than classes with more students.

E

For this particular high school, the smallest class size during the previous school year was $10$ students and the largest class size during the previous year was $35$ students.