Question

mr. harts students. 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 hours. the mean number of hours a student in ms. perrys class studies is hours. a typical student in mr. harts class studies a typical student in ms. perrys. more than, less than, the same amount as. ms. perrys students.

Explanation:

Step1: Calculate sum for Mr. Hart's class

Count number of dots at each value on the number - line and multiply by that value, then sum. There are 1 dot at 0, 2 dots at 1, 3 dots at 2, 4 dots at 3, 5 dots at 4, 4 dots at 5, 3 dots at 6, 2 dots at 7, 1 dot at 8. The sum is \(0\times1 + 1\times2+2\times3 + 3\times4+4\times5+5\times4+6\times3+7\times2+8\times1=0 + 2+6 + 12+20+20+18+14+8 = 100\). There are \(1 + 2+3 + 4+5+4+3+2+1=25\) students. The mean is \(\frac{100}{25}=4\).

Step2: Calculate sum for Ms. Perry's class

There are 3 dots at 0, 4 dots at 1, 2 dots at 2, 3 dots at 3, 4 dots at 4, 3 dots at 5, 1 dot at 6, 0 dots at 7, 1 dot at 8. The sum is \(0\times3+1\times4 + 2\times2+3\times3+4\times4+5\times3+6\times1+7\times0+8\times1=0 + 4+4+9+16+15+6+0+8 = 52\). There are \(3 + 4+2+3+4+3+1+0+1 = 21\) students. The mean is \(\frac{52}{21}\approx2.48\).

Step3: Compare the means

Since \(4>2.48\), a typical student in Mr. Hart's class studies more than a typical student in Ms. Perry's class.

Answer:

The mean number of hours a student in Mr. Hart's class studies is 4 hours.
The mean number of hours a student in Ms. Perry's class studies is approximately 2.48 hours.
A typical student in Mr. Hart's class studies more than a typical student in Ms. Perry's class.