Question

Henry collected data on the favorite type of food of the students of two grades. The table below shows the relative frequencies of rows for the data collected:

Burger Sandwich Noodles Total
Grade 8 0.50 0.10 0.40 1.00
Grade 9 0.53 0.20 0.27 1.00
Total 0.36 0.32 0.32 1.00

Based on the data, which statement is most likely correct?
A) In Grade 9, 53 students liked burgers.
B) In Grade 9, 73% of students liked noodles.
C) In Grade 8, 40% of students liked noodles.
D) In Grade 8, 10 students liked sandwiches.

Answer 1

The correct answer would be C) because 0.40 is 40% of 1.00.

Answer 2

C) In Grade 8, 40% of students liked noodles.

Explanation:

Given is the table as follows

Grade Burger Sandwich NOodles Total

8 0.50 0.10 0.40 1.00

9 0.53 0.20 0.27 1.00

The entries are showing the relative frequencies of gradewise favourite food

We have to check which one is right from the given 4 statements

A) In Grade 9, 53 students liked burgers.

This is incorrect because 0.53 means 53% and need not equal to 53 students always.

B) In Grade 9, 73% of students liked noodles.

This is incorrect as from table we find that 27% of grade 9 liked noodles

C) In Grade 8, 40% of students liked noodles.

This is correct from the given table.

D) In Grade 8, 10 students liked sandwiches

This is incorrect since number of students cannot be calculated from the relative frequency unless total students are given.

C) In Grade 8, 40% of students liked noodles.