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The pie chart shows the results of a survey on students’ favorite activities at a school.
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Which two activities make up exactly half of the responses?
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We need to use this pie chart to figure out which two activities would make up half of their responses.
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We need to figure out what exactly half would be on a pie chart.
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We could divide our pie chart in half like this.
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This space is half of our pie chart, but it is not two separate activities.
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We could try again by dividing the pie chart in half, horizontally.
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Again, we find half of our pie chart, but it’s not showing us which two activities make up half of their responses.
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So we need a new strategy.
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But then, you remember that exactly half can also be represented by 50 percent.
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We can check to see which two activities add up to 50 percent.
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Let’s start by adding the library and the drawing responses together.
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27 percent of the students liked the library best, and 13 percent of the students liked drawing best.
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27 plus 13 equals 40. so that percentage of students that like the library and drawing is 40 percent, which is not exactly half.
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So we need to keep looking for another combination.
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This time let’s check the library and theater.
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27 percent of the students said that the library was their favorite; 23 percent of the students said that the theater was their favorite.
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Now we need to add 27 percent plus 23 percent.
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27 plus 23 equals 50 percent.
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50 percent is exactly half.
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This means that the two activities that make up exactly half of the responses are the library and the theater.