learn by doing 8
Context
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?
| % of body weight carried in backpack | Third graders |
Fifth graders |
|---|---|---|
| 0-5% | 1 | 1 |
| 5-10% | 6 | 6 |
| 10-15% | 11 | 4 |
| 15-20% | 3 | 7 |
| 20-25% | 0 | 1 |
| 25-30% | 0 | 2 |
| 30-35% | 0 | 1 |
| Totals | 21 | 22 |
Note: Left-hand end-points are included in each bin. So the 2nd bin contains students carrying 5% of their body weight.
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