Question

The juniors and seniors at Lawrence High School are required to enroll in one fine arts elective each year. The students' selections are displayed in the two-way relative frequency table.
Fine Arts Course Selections
Art Band Choir Drama Total
Juniors 0.02 0.27 0.24 0.05 0.58
Seniors 0.12 0.04 0.05 0.21 0.42
Total 0.14 0.31 0.29 0.26 1

Which observation is supported by the data?

A.
Art is the most popular elective among seniors.
B.
Choir is the most popular elective among seniors.
C.
Band is the most popular elective among juniors.
D.
Drama is the most popular elective among juniors.

Answer 1

Answer:

C. Band is the most popular elective.

Step-by-step explanation:

Answer 2

Answer:

C. Band is the most popular elective among juniors.

Step-by-step explanation:

Let's just arrange your table:

                   Art      Band      Choir      Drama      Total

Juniors:     0.02      0.27        0.24       0.05        0.58

Seniors:     0.12      0.04       0.05       0.21         0.42

Total:         0.14       0.31         0.29        0.26          1

What you see here are portions or percentages of the people who chose under each category.

Here's another way to look at it.

                   Art      Band      Choir      Drama      Total

Juniors:        2%      27%        24%        5%           58%

Seniors:       12%      4%           5%         21%         42%

Total:            14%      31%        29%        26%   100%

If you read it horizontally, you are looking at it based on Juniors and Seniors.

If you read it vertically, you're looking at it based on the elective class.

The totals show how the group looks as a whole. And it gives you an idea of how much of the population chose each elective class.

Let's go back to your choices.

A is wrong, because as you can see, only 12% of the population that are Seniors chose Art. The most popular was actually Drama with 21%.

B. Is wrong as well because  only 5% of the population that are seniors chose Choir.

C. Is true because the as you can see, 27% of the population that are juniors chose Band.

D is wrong because of the above statement.

Now you do not have to make them into percentages to do this. You can also interpret the same thing by looking for the highest relative frequency to determine which one is most popular.