3. Two-Way Tables
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To find the relative frequencies by row, we calculate the ratios of each value and the total in that row.
Relative Frequencies:
Text Message | Instant Message | Total | |
---|---|---|---|
7th graders | 59; 0.70 | 25; 0.30 | 84; 1.00 |
8th graders | 59; 0.59 | 41; 0.41 | 100; 1.00 |
Total | 118 | 66 | 184 |
Example Solution: Many more 7th graders text message than instant message. The 8th graders split more evenly.
We want to find relative frequencies by row. To do so, we will start by completing the given table.
Text Message | Instant Message | Total | |
---|---|---|---|
7th graders | 59; | 25; | |
8th graders | 59; | 41; | |
Total |
Text Message | Instant Message | Total | |
---|---|---|---|
7th graders | 59; | 25; | 84 |
8th graders | 59; | 41; | 100 |
Total | 118 | 66 |
Text Message | Instant Message | Total | |
---|---|---|---|
7th graders | 59; | 25; | 84 |
8th graders | 59; | 41; | 100 |
Total | 118 | 66 | 184 |
To find the relative frequencies by row, we calculate the ratios of each value and the total in that row. We will round the results to the nearest hundredth.
Text Message | Instant Message | Total | |
---|---|---|---|
7th graders | 59; 8459≈0.70 | 25; 8425≈0.30 | 84; 8484=1.00 |
8th graders | 59; 10059=0.59 | 41; 10041=0.41 | 100; 100100=1.00 |
Total | 118 | 66 | 184 |
Looking at the relative frequencies, we can say that many more 7th graders text message than instant message. The 8th graders split more evenly.