Question

question 3 of 5 will children jump farther if they have a target in front of them? to find out, a gym teacher conducted an experiment with 29 twelve - year - old children. the teacher wrote the names of all 29 children on identical slips of paper, put them in a hat, mixed them up, and drew out 15 slips. each of the 15 selected students did a standing long jump from behind a starting line. the remaining 14 students did a similar standing long jump from behind the starting line, but with a target line placed 200 centimeters from the starting line. the distance from the starting line to the back of each students closest foot was measured (in centimeters). here are the data. no target: 146 190 109 181 155 167 154 171 157 156 128 157 167 162 137 target: 199 167 147 180 185 120 171 139 154 126 179 158 181 152 (a) make a back - to - back stemplot to compare the jump distances for the two groups. no target target

Explanation:

Step1: Organize data by tens place

For the "No target" group: 109, 128, 137, 146, 154, 155, 156, 157, 157, 162, 167, 167, 171, 181, 190.
For the "Target" group: 120, 126, 139, 147, 152, 154, 158, 167, 171, 179, 180, 181, 185, 199.

Step2: Create the stem - and - leaf plot

The stems will be the hundreds and tens digits (10 - 19).
For the "No target" group (left side of the stem):
10 | 9
12 | 8
13 | 7
14 | 6
15 | 4 5 6 7 7
16 | 2 7 7
17 | 1
18 | 1
19 | 0

For the "Target" group (right side of the stem):
12 | 0 6
13 | 9
14 | 7
15 | 2 4 8
16 | 7
17 | 1 9
18 | 0 1 5
19 | 9

Answer:

No Target | Stem | Target
--- | --- | ---
9 | 10 |
8 | 12 | 0 6
7 | 13 | 9
6 | 14 | 7
4 5 6 7 7 | 15 | 2 4 8
2 7 7 | 16 | 7
1 | 17 | 1 9
1 | 18 | 0 1 5
0 | 19 | 9