In a school with 2,000 students, a random sample of 120 students were asked which fruit is their favorite. Their responses are shown in the table below.Survey ResponsesFavorite FruitNumber of StudentsBanana23Apple18Orange34Peach27Pear18Using proportional reasoning, about how many students out of the 2,000 would you expect to select an orange as their favorite fruit?
In the sample, 34 of 120 students chose orange, so the estimated proportion is 34 ÷ 120. Apply that proportion to all 2,000 students: (34 ÷ 120) × 2,000 ≈ 567. So about 567 students would be expected to choose orange.
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