The following two-way table shows the data for the students of two different grades in a school: Member of School Band Not Member of School Band Total
Grade 7
10
8
18
Grade 8
10
2
12
Total
20
10
30

Based on the relative row frequency, the students of which grade are more likely to be members of the school band?
Grade 7
Grade 8
The students of both grades are equally likely to be members of the school band
No conclusion can be drawn about the chances of a student being a member of the school band

The correct answer is Grade 7. In Grade 7, 20/22 students were in the science club, while in Grade 8, 20/28 students were in science club. If we simplify these fractions and get a least common denominator, we can compare them to see which is larger.

Grade 7 = 10/11
Grade 8 = 5/7

Now that we've simplified the fractions, let's find a common denominator for both. In this case, I'm going to use 77.

Grade 7 = 70/77
Grade 8 = 55/77

Since 70 is greater than 55, it is more likely that the Grade 7 students will be in the science club.