Question

Susie collected data on the favorite type of music of the students of two grades. The table below shows the relative frequencies of rows for the data collected:
Pop Classical Heavy Metal 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?

In Grade 9, 53 students liked pop music.
In Grade 8, 60% of students liked heavy metal.
In Grade 8, 10 students liked classical music.
In Grade 9, 20% of students liked classical music.

Answer 1

Answer:

In Grade 9, 20% of students liked classical music.

Step-by-step explanation:

Your table was hard to decipher, so I have recreated it here.

$\begin{array}{c|cccc}&\text{Pop}&\text{Classical}&\text{Heavy Metal}&\text{Total}\\\text{Grade 8}&0.50&0.10&0.40&1.00\\\text{Grade 9}&0.53&0.20&0.27&1.00\\\text{Total}&0.36&0.32&0.32&1.00\\\end{array}$

(a) In Grade 9, 53 students liked pop music.

FALSE. 53 % of the students liked pop music. We don't know how many students there were.

(b) In Grade 8, 60% of students liked heavy metal.

FALSE. 40 % of students liked heavy metal.

(c) In Grade 8, 10 students liked classical music.

FALSE. We don't know how many students there were.

(d) In Grade 9, 20% of students liked classical music.

TRUE. 0.20 means 20/100 or 20 %.