Question

The following two-way table shows the data for the students of two different grades in a school:

Member of Science Club Not Member of Science Club Total
Grade 7 20 2 22
Grade 8 20 8 28
Total 40 10 50

Based on the relative row frequency, the students of which grade are more likely to be members of the science club?


Grade 7

Grade 8

The students of both grades are equally likely to be members of the science club

No conclusion can be drawn about the chances of a student being a member of the science club

Answer 1

Answer: grade 7

Explanation:

Grade 7: 20/22 students in club

Grade 8: 20/28 students in club

Grade 7 has higher % of students in science club

Answer 2

Grade 7

Explanation:

The relative row frequency of members of the Science Club is: Member of Science Club / Total

in Grade 7: 20/22 = 0.91.

And in Grade 8 is: 20/28 = 0.71.

Then, students of Grade 7 are more likely to be members of the science club.