The results from a random sample of 150 students' after-school activities at a school are shown. 68 students prefer soccer. 59 students prefer basketball. 23 students prefer swimming. Part A If there are a total of 500 students in the school, what is the best approximation for how many students in the school prefer basketball? 197 students 197 students 227 students 227 students 295 students 295 students 303 students 303 students

≈ 197 students

Step-by-step explanation:

Let's start by writing what we know.

150 students sampled

68 prefer soccer

59 prefer basketball

23 prefer swimming

Part A

If 59 students prefer basketball out of the 150 students sampled then we divide 59/150 in order to get the percentage of students that prefer basketball.

59/150 ≈ 39.33%       Remember this is only a sample of the students so it is approximate.

Now that we have the percentage, we can multiply it by the entire student body to get an approximate number of all students that prefer basketball.

39.33% = .3933

.3933 * 500 = 196.66  ≈ 197 students   (because we can't have a partial student we round up)

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