The two-way relative frequency table which shows the distribution of data with respect to all types of books should be completed as follows;
Grade 7 Grade 8 Total
Fiction 31% 34% 65%
Non-Fiction 15% 20% 35%
Total 46% 54% 100%
In Mathematics, relative frequency refers to a ratio of a data value to the entire data set, or total of a row, or column.
In order to determine each of the values for the two-way relative frequency table, we would have to divide each value in the columns and rows by the sum of the total number of books and then multiply by 100 as follows;
Fiction (Grade 7) = 80/260 × 100
Fiction (Grade 7) = 31%.
Fiction (Grade 8) = 90/260 × 100
Fiction (Grade 8) = 34%.
Fiction (Total) = 170/260 × 100
Fiction (Total) = 65%.
Non-Fiction (Grade 7) = 40/260 × 100
Non-Fiction (Grade 7) = 15%.
Non-Fiction (Grade 8) = 50/260 × 100
Non-Fiction (Grade 8) = 20%.
Non-Fiction (Total) = 90/260 × 100
Non-Fiction (Total) = 35%
Total (Grade 7) = 120/260 × 100
Total (Grade 7) = 46%.
Total (Grade 8) = 140/260 × 100
Total (Grade 8) = 54%.
Total = 260/260 × 100
Total = 100%.