Question

Boys Girls

Zoo 15 8
Museum 10 12

Mr. White collected data from his eighth grade class on whether they prefer the zoo or the museum. Based on the data collected, if the eighth grade has 90 girls and 78 boys, which statement is true?
A) 31 boys will choose the zoo
B) 36 girls will choose the zoo
C) 40 girls will choose the zoo
D) 47 boys will choose the museum

Answer 1

B) 36 girls will choose the zoo

Explanation:

The data from sample gathered is

Boys Girls

Zoo 15 8

Museum 10 12

Total 25 20

The question asks about what will the data for 90 girls and 78 boys will look like. We can use the data as proportion and make the expected value for the new data. There are 90 girls in the question and the sample is 20 girls, so it's 90/20= 4.5 times larger than the sample. The expected data will be:

Girls

Zoo 8 x 4.5 = 36

Museum 12 x 4.5 = 54

Total 20x 4.5 = 90

The number of boys is 78 while the sample is 25, the data will be

Boys

Zoo 15 x 78/25 = 46.8

Museum 10 x 78/25 = 31.2

Total 25x 78/25 = 78

The answer will be 36 girls will choose the zoo