Question

Any Help Please?!

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

Weekly Duration of Outdoor Games
Time (in hours) 0-2 3-5 6-8 9-11
Number of Students 30 62 8 0

There are 1,200 students in the school. Based on the sample proportion, how many students in the school would be expected to play outdoor games for at least three hours every week? (1 point)


744

840

960

1,104

Answer 1

Answer:1,104 is the correct answer

Step-by-step explanation: 1,104 is the correct answer

Answer 2

Total number of students in the sample = 100

Atleast 3 means equal to or greater than 3. So in order to find the number of students in the sample who play outdoor games for atleast 3 hours we need to add the number of students who play for 3 hours or more.

Therefore, number of students who play for atleast 3 hours = 62 + 8 + 0 = 70

In the sample of 100 students, 70 students play the outdoor games for atleast 3 hours.

Base on this we can the sample proportion of students who play outdoor games for atleast 3 hours = 70/100 = 0.7

Based on the sample proportion, out of 1200 students the expected number of students who will play outdoor games for atleast 3 hours = 0.7 x 1200 = 840 students

Thus, 840 students out of 1200 would be expected to play outdoor games for at least three hours every week. Option B is the correct answer