Question

mr. anderson and ms. brown each recorded the number of push - ups done by students in their classes. they made line plots to display the data.
mr. andersons class
ms. browns class
select whether the value of each statistic is greater for mr. andersons class, equal for both classes, or greater for ms. browns class based on the line plots.
number of students who did push - ups
maximum number of push - ups
mean number of push - ups

Explanation:

Step1: Count the number of students

Count the number of 'X's in Mr. Anderson's class line - plot: \(1 + 2+1 + 3+4+3+2+1+3+2 = 22\).
Count the number of 'X's in Ms. Brown's class line - plot: \(2+2 + 3+2+1+3+2+4 = 19\). So the number of students is greater for Mr. Anderson's class.

Step2: Find the maximum value

The maximum number of push - ups for Mr. Anderson's class is \(32\). The maximum number of push - ups for Ms. Brown's class is \(32\). So the maximum number of push - ups is equal for both classes.

Step3: Estimate the mean

For Mr. Anderson's class, assume values: \(20\times2,21\times1,24\times3,25\times4,26\times3,27\times2,28\times1,30\times3,31\times2,32\times2\).
The sum \(S_1=20\times2 + 21\times1+24\times3+25\times4+26\times3+27\times2+28\times1+30\times3+31\times2+32\times2\)
\(=40+21 + 72+100+78+54+28+90+62+64\)
\(=609\). Mean \(\bar{x}_1=\frac{609}{22}\approx27.7\)
For Ms. Brown's class, assume values: \(20\times2,22\times2,24\times3,26\times2,28\times1,30\times3,31\times2,32\times4\)
The sum \(S_2=20\times2+22\times2 + 24\times3+26\times2+28\times1+30\times3+31\times2+32\times4\)
\(=40+44+72+52+28+90+62+128\)
\(=516\). Mean \(\bar{x}_2=\frac{516}{19}\approx27.2\)
So the mean number of push - ups is greater for Mr. Anderson's class.

Answer:

	Greater for Mr. Anderson's Class	Equal for Both Classes	Greater for Ms. Brown's Class
Maximum Number of Push - ups		\(\square\)
Mean Number of Push - ups	\(\square\)