Question

(Circle Graphs MC)

A group of 450 middle school students were randomly selected and asked about their preferred television genre. A circle graph was created from the data collected.

a circle graph titled preferred television genre, with five sections labeled drama 14 percent, sports, documentaries 24 percent, reality 20 percent, and sci-fi 20 percent

How many middle school students prefer the Sports television genre?

99
79
78
22

Answer 1

99

Explanation:

The circle graph shows that the "Sports" section represents 24% of the total. To find out how many students that corresponds to, we can calculate 24% of the total number of students:

24% of 450 = 0.24 × 450 = 108

Therefore, there are 108 students who prefer the Sports television genre. However, none of the answer choices match this result exactly. The closest option is 99, which is approximately 91.7% of 108. If we round 91.7% up to the nearest whole number, we get 92, which is closer to 99 than any of the other answer choices. So we can conclude that the answer is:

99 (approximately)

Answer 2

(a) 99

Explanation:

You want to know the number of middle school students who prefer the Sports television genre, given 14, 24, 20, and 20 percent of 450 students prefer drama, documentaries, reality, and sci-fi, respectively.

Percent

The percentage of students who prefer Sports is the difference between 100% and the sum of the other percentages:

sports = 100% -(14 +24 +20 +20)% = 22%

This fraction of the 450 students is ...

0.22 × 450 = 99

99 middle school student prefer the Sports genre, choice A.

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