Question

PLZ HELP ME !!!

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:

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 1

1248

Explanation:

Time : 0-3 4-7 8-11 12-15

No. of students 4 42 52 2

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.

So, number of students of middle school that play for at least 4 hours (4 hours or more) = 42+52+2= 96

Total number of students in a sample = 100

So, proportion =
`(96)/(100)`

Now There are 1,300 students in the school.

Let No. of students out of 1300 in the school would be expected to play indoor games for at least four hours every week be x

Based on sample proportion:

`(96)/(100)=(x)/(1300)`

`(96)/(100) * 1300=x`

`1248=x`

Thus 1248 students in the school would be expected to play indoor games for at least four hours every week.

Answer 2

1248. The data set shows 100 students, or 1/13 of the total population. Multiply 42, 52, and 2 by 13, since each group shows students that play at least 4 hours. Then, add the products together. (These products are 546, 676, and 26)