Given below is a back-to-back stem-and-leaf diagram in which common stems are placed at the center of the diagram while the leaves of the two data set are listed at the left- and right-hand side of the given stems. The following back-to-back stem-and-leaf diagram determines the time in seconds for the two groups of participants to solve a puzzle when exposed to different noise level. The first group of participant solves the puzzle in the classroom wherein the noise level is maintained at 60 decibel. For the other group, a decibel level of 45 was maintained while they solved the same problem. Group 1 Stem Group 2 3 4 5 4 3 3 6 7 7 3 1 5 1 4 4 5 6 8 7 3 3 3 2 6 3 4 5 6 3 2 1 7 3 7 1 8 i) How many participants in group 1 need greater than 45 seconds to solve the puzzle? ii) How many participants in group 2 require 45 seconds to solve the puzzle? iii) By examining the stem-and-leaf display, which of the two groups of participants seemed to have a greater mean in seconds required in solving the puzzle?
Given below is a back-to-back stem-and-leaf diagram in which common stems are placed at the center of the diagram while the leaves of the two data set are listed at the left- and right-hand side of the given stems. The following back-to-back stem-and-leaf diagram determines the time in seconds for the two groups of participants to solve a puzzle when exposed to different noise level. The first group of participant solves the puzzle in the classroom wherein the noise level is maintained at 60 decibel. For the other group, a decibel level of 45 was maintained while they solved the same problem.
|
Group 1 |
Stem |
Group 2 |
|
|
3 |
4 |
|
5 |
4 |
3 3 6 7 |
|
7 3 1 |
5 |
1 4 4 5 6 8 |
|
7 3 3 3 2 |
6 |
3 4 5 |
|
6 3 2 1 |
7 |
3 |
|
7 1 |
8 |
|
- i) How many participants in group 1 need greater than 45 seconds to solve the puzzle?
- ii) How many participants in group 2 require 45 seconds to solve the puzzle?
- iii) By examining the stem-and-leaf display, which of the two groups of participants seemed to have a greater mean in seconds required in solving the puzzle?
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