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Solve for Female Non-Fiction Authors in a Two-Way Book Data Table
Mathematics
Grade 6 Primary School
Question Content
The table shows the number of books by male and female authors on a bookshelf. How many of the non-fiction books were written by female authors?\n| | Male | Female | Total |\n|----------|------|--------|-------|\n| Fiction | | | 48 |\n| Non-fiction | 46 | | |\n| Total | 69 | | 131 |
Correct Answer
16
Detailed Solution Steps
1
Step 1: Calculate the total number of non-fiction books. Subtract the total number of fiction books from the overall total number of books: 131 - 48 = 83.
2
Step 2: Find the number of female non-fiction authors. Subtract the number of male non-fiction authors from the total non-fiction books: 83 - 46 = 16.
Knowledge Points Involved
1
Two-way table data analysis
A two-way table organizes data based on two categorical variables (here, book genre and author gender). It requires using known row and column totals to calculate missing values by applying basic arithmetic operations.
2
Subtraction for complementary values
When given a total value and one part of that total, subtraction is used to find the missing complementary part. This is applied to find both row and column totals in the table.
3
Logical deduction for missing data
This involves using the relationships between row totals, column totals, and the grand total of a data table to logically derive unknown values, ensuring all row and column sums match the overall total.
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