1. The completion of the two-way frequency table showing the results of the survey is as follows:
How Do You Feel About a Longer School Year?
Very Unhappy Neutral Happy Very Total
Unhappy Happy
6th Graders 21 14 5 2 11 53
7th Graders 23 19 26 39 3 110
8th Graders 8 6 20 5 9 48
Total 52 39 51 46 23 211
2. The combination of the very unhappy and unhappy categories into one category called dislike and the happy and very happy categories into one category called like in a new two-way frequency table is as follows:
How Do You Feel About a Longer School Year?
Dislike Neutral Like Total
6th Graders 35 5 13 53
7th Graders 42 26 42 110
8th Graders 14 20 14 48
Total 91 51 69 211
A two-way frequency table is a visual representation of the possible relationships between two sets of categorical data based on their frequencies.
1) The completion of the first two-way frequency table was achieved by addition and subtraction, starting from any feasible row or column.
2) How Do You Feel About a Longer School Year?
Dislike Neutral Like Total
6th Graders 21 + 14 5 2 + 11 53
7th Graders 23 + 19 26 39 + 3 110
8th Graders 8 + 6 20 5 + 9 48
Total 52 + 39 51 46 + 23 211
Question Completion:
How Do You Feel About a Longer School Year?
Very Unhappy Neutral Happy Very Total
Unhappy Happy
6th Graders - 14 5 - 11 53
7th Graders 23 19 - - 3 -
8th Graders - 6 20 5 - 48
Total 52 - 51 46 - 211