Students researching backpack weights gathered data from 45 elementary school children in the 3rd and 5th grades. The variable is "percent of body weight carried in the school backpack." So a child who weighs 60 pounds and carries 9 pounds has a variable value of 15% (9 ÷ 60 = 0.15 = 15%). The American Chiropractic Association (ACA) recommends that children carry no more than 10% of their body weight. Prompt When we analyze backpack weight as a percentage of body weight, how do 3rd and 5th graders compare? Are children in this study following the ACA recommendation?

MATLAB: An Introduction with Applications
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Note: Left-hand end-points are included in each bin. So the 2nd bin contains students carrying 5% of their body weight.

Students researching backpack weights gathered data from 45 elementary school children in the 3rd and 5th grades. The variable is "percent of body weight carried
in the school backpack." So a child who weighs 60 pounds and carries 9 pounds has a variable value of 15% (9 ÷ 60 = 0.15 = 15 %). The American Chiropractic
Association (ACA) recommends that children carry no more than 10% of their body weight.
Prompt
When we analyze backpack weight as a percentage of body weight, how do 3rd and 5th graders compare? Are children in this study following the ACA
recommendation?
Transcribed Image Text:Students researching backpack weights gathered data from 45 elementary school children in the 3rd and 5th grades. The variable is "percent of body weight carried in the school backpack." So a child who weighs 60 pounds and carries 9 pounds has a variable value of 15% (9 ÷ 60 = 0.15 = 15 %). The American Chiropractic Association (ACA) recommends that children carry no more than 10% of their body weight. Prompt When we analyze backpack weight as a percentage of body weight, how do 3rd and 5th graders compare? Are children in this study following the ACA recommendation?
count
count
10
0
0
0-5%
5-10%
10-15%
15-20%
20-25%
25-30%
30-35%
5
Totals
5
10 15
20 25
Percent_body_weight_carried
10
% of body weight carried
in backpack
15
20
Percent_body_weight_carried
Third
graders
1
6
11
3
0
0
0
21
Third graders
30 35
Fifth graders
1
25 30 35
Fifth
graders
1
6
4
7
1
2
1
22
Transcribed Image Text:count count 10 0 0 0-5% 5-10% 10-15% 15-20% 20-25% 25-30% 30-35% 5 Totals 5 10 15 20 25 Percent_body_weight_carried 10 % of body weight carried in backpack 15 20 Percent_body_weight_carried Third graders 1 6 11 3 0 0 0 21 Third graders 30 35 Fifth graders 1 25 30 35 Fifth graders 1 6 4 7 1 2 1 22
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In a continuous  variable there are n class intervals and the class mark is denoted by x with frequency f then the mean of the variable is given by

x¯=xfN where N=f

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