Question

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

Answer 1

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.

Answer 2

It is more likely that the Grade 7 pupils will be in the science club because 70 is more than 55.

What is a conditional relative frequency?

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell by the total frequency.

As we can see in the table:

Grade 7 = 10/11

Grade 8 = 5/7

Or after making the common denominator:

Grade 7 = 70/77

Grade 8 = 55/77

Thus, it is more likely that the Grade 7 pupils will be in the science club because 70 is more than 55.

Learn more about the conditional relative frequency here:

brainly.com/question/8358304

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