Question

the data plots represent the hours students study each week in two different classrooms. the mean number of hours a student in mr. harts class studies is . the mean number of hours a student in ms. perrys class studies is . a typical student in mr. harts class studies hours. a typical student in ms. perrys class.

Explanation:

Step1: Count data - points for Ms. Perry's class

Ms. Perry's class data - points: 0: 2, 1: 3, 2: 1, 3: 3, 4: 2, 5: 1, 6: 1, 8: 1. Total number of students \(n_{1}=2 + 3+1 + 3+2 + 1+1 + 1=14\).
Mean \(\bar{x}_{1}=\frac{0\times2 + 1\times3+2\times1 + 3\times3+4\times2 + 5\times1+6\times1 + 8\times1}{14}=\frac{0 + 3+2 + 9+8 + 5+6 + 8}{14}=\frac{41}{14}\approx2.93\) hours.

Step2: Count data - points for Mr. Hart's class

Mr. Hart's class data - points: 0: 1, 1: 0, 2: 2, 3: 2, 4: 1, 5: 3, 6: 2, 7: 1, 8: 2. Total number of students \(n_{2}=1+0 + 2+2 + 1+3 + 2+1 + 2=14\).
Mean \(\bar{x}_{2}=\frac{0\times1+1\times0 + 2\times2+3\times2+4\times1+5\times3+6\times2+7\times1+8\times2}{14}=\frac{0+0 + 4+6 + 4+15+12+7+16}{14}=\frac{64}{14}\approx4.57\) hours.

Answer:

The mean number of hours a student in Ms. Perry's class studies is approximately \(2.93\) hours.
The mean number of hours a student in Mr. Hart's class studies is approximately \(4.57\) hours.
A typical student in Mr. Hart's class studies more hours than a typical student in Ms. Perry's class.