Question

Timpony School District surveyed a random sample of

60 middle school students about the amount of time they watch TV. Of the students surveyed,
14 average watching more than
4 hours of TV each day. There are
1143 middle school students in the Timpony School District.
Based on the data, what is the most reasonable estimate for the number of Timpony School District middle school students who average watching more than
4 hours of TV each day?

Answer 1

`267`

Explanation:

`(14)/(60)` of the suryed students average watching more than
`4` hours of TV each day.

Now we need to multiply this fraction by the total number of Timpony School District middle school students.

`1143` ×
`(14)/(60)` ≅
`267`

`267` is the most reasonable estimate for the number of Timpony School District middle school students who average watching more than
`4` hours of TV each day.

Answer 2

267 students

Explanation:

The fraction of the sample who watched more than 4 hours a day is

14/60 or simplified is 7/30

We multiply this fraction by the total number of students

7/30 * 1143

266.7

Rounding to a whole number of students

267 students is a reasonable estimate