Question

CAN SOMEONE PLEASE HELP ME?!?!?!?!

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

Things to note when solving this problem are:
1. The given values of relative frequency can't be converted to actual numbers of students.
2. The relative frequencies can be converted to percentages. For example a relative frequency of 0.36 can be converted to a percentage by multiplying by 100 giving 36%.

Answer 2

Can you use note 1 above to eliminate two of the choices?

Answer 3

so it can't be a or c right?

Answer 4

Good work, you are correct.
Now by using note 2 you can find which of the remaining two choices is valid.

Answer 5

is it D?

Answer 6

Yes, you are correct!

Answer 7

thanks :)

Answer 8

@kropot72

"1. The given values of relative frequency can't be converted to actual numbers of students." is true in general, but may not be used to eliminate cases because the statements could actually be true if there are exactly 100 students.

Answer 9

@RosieF You're welcome :)

Answer 10

@mathmate That is why the question states "which statement is most likely correct". Of course you are strictly correct and my note 1 should have said 'unless there were exactly 100 students'.

Answer 11

I believe the question is badly formulated, because D is definitely true, and also the totals for pop and classical cannot possibly be what were shown.
Thank you for taking the time to respond.

Answer 12

@mathmate Thank you for your input :)

Answer 13

You're welcome! :)