Algebra-1

Question Analysis
This question involves a two-way frequency table with variables "lunch period" (1st/2nd) and "food preference" (pizza/burgers).
The main focus is on calculating the column marginal frequency for "Likes Pizza" using the grand total of students.

Key Concept Explanation
Grand Total Relationship: The sum of all column marginal frequencies equals the grand total of the table.
For this table:
Marginal frequency (Likes Pizza) + Marginal frequency (Likes Burgers) = Grand total.

Step-by-Step Solution
Identify the grand total of students, which is 200 (given in the "Column Total" row and "Row Total" column intersection).
The marginal frequency for "Likes Burgers" is 100 (given in the "Column Total" row for that column).
Let the marginal frequency for "Likes Pizza" be z. Using the grand total relationship: .
Solve for z:

Click "Show Answer" to reveal the answer and analysis