Math Problem Statement
What is the missing value in the table for 'Girls' and 'Peanut Butter Sandwich' based on the given relative frequencies?
Solution
To solve the problem, we need to determine the missing value in the table for "Girls" and "Peanut Butter Sandwich."
The relative frequencies of boys and girls should sum to 1 for each column. Here's the approach:
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For the "Peanut Butter Sandwich" column:
- Total: Boys + Girls = 1
- Boys: 0.33
- Girls = 1 - 0.33 = 0.67
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For the "Ham Sandwich" column:
- Total: Boys + Girls = 1
- Boys: 0.25
- Girls: 0.23 (already given)
The missing value is 0.67.
Let me know if you want further clarification or help.
Related Questions:
- How do relative frequencies differ from actual frequencies?
- Why is it important for each column to sum to 1 in relative frequency tables?
- Can you explain how to cross-verify the solution for missing values in such tables?
- How would the solution change if the sum of the columns didn’t equal 1?
- How are relative frequency tables used in real-world statistics?
Tip: Always check your work by ensuring that the sum of rows or columns aligns with the context of the problem.
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Math Problem Analysis
Mathematical Concepts
Relative Frequencies
Two-Way Tables
Basic Arithmetic
Formulas
Sum of Relative Frequencies = 1 for each category
Theorems
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Suitable Grade Level
Grades 6-8