Question

The frequency distribution shown in the following table lists the number of hours per day a randomly selected sample of teenagers spent watching television. Where possible, determine what percent of the teenagers spent the following number of hours watching television. (Round your answers to one decimal place. If not possible, enter IMPOSSIBLE.)

Hours per day Number of Teenagers

0 ≤ x < 1 19

1 ≤ x < 2 31

2 ≤ x < 3 23

3 ≤ x < 4 37

4 ≤ x < 5 27

5 ≤ x < 6 13

6 ≤ x < 7 16

(a) less than 4 hours

____%

(b) at least 5 hours

____%

(c) at least 1 hour

____%

(d) less than 2 hours

_____%

(e) at least 2 hours but less than 4 hours

______%

(f) more than 3.5 hours

_______%

Answer 1

Solution :

(a) less than 4 hours

= (19+31+23+37)/166 = 0.663 = 66.3%

66.3%

(b) at least 5 hours

=(13+16)/166 = 0.175

17.5%

(c) at least 1 hour
= 1- (19/166) = 0.886

88.6%

(d) less than 2 hours

= (31+19)/166 = 0.301

30.1%

(e) at least 2 hours but less than 4 hours

=(23+37)/166 = 0.361

36.1%

(f) more than 3.5 hours

IMPOSSIBLE