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The following table shows the data collected from a random sample of 100 middle school students on the number of hours they play indoor games every week:

Weekly Duration of Indoor Games

Time (in hours) 0–3 4–7 8–11 12–15
Number of Students 4 42 52 2


There are 1,300 students in the school. Based on the sample proportion, how many students in the school would be expected to play indoor games for at least four hours every week?
546
598
702
1,248

Answer :

MrEquation
You could expect about 1,248 students to play at least 4 hours every week.

Our tables have 100 students involved. All but 4 of the students are in the category of at least 4 hours. That is 96%.

Therefore, we simply need to multiply 0.96 by 1300 to get the estimated amount.

0.96 x 1300 = 1248

Number of students in the school would be expected to play indoor games for at least four hours every week is option (D) 1248

What is percentage?

In mathematics, a percentage is a number or ratio expressed as a fraction of 100

From the weekly duration of indoor games table

Total number of students = 100 students

Number of students playing at least 4 hours = 4 students

Percentage of students playing below 4 hours = 100 × (4/100)= 4%

Percentage of students playing at least 4 hours = 100-4= 96%

Total number of students in school = 1300 students

Number of students in the school would be expected to play indoor games for at least four hours every week = 96% of total students

=1300×(96/100)

=1248 students

Hence, Number of students in the school would be expected to play indoor games for at least four hours every week is option (D) 1248

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