Question

In: Statistics and Probability

Construct a relative frequency distribution of your data. Remember each class should have the same width,...

Construct a relative frequency distribution of your data. Remember each class should have the same width, for example, classes of 0 to 5, 6 to 10, 11 to 15, etc. In 3 tabs:

classes frequency relative frequency

Data: The researcher asks 25 students, "On average, how many hours daily a college student spends on social networks?"

Respondent   Hours of S.N.

1

1h40m

2

2h30m

3

2h30m

4

2h30m

5

2h10m

6

2h

7

2h

8

3h

9

2h20m

10

2h20m

11

2h20m

12

2h40m

13

2h30m

14

2h30m

15

2h30m

16

2h10m

17

2h50m

18

2h50m

19

2h10m

20

2h

21

1h50m

22

1h50m

23

2h40m

24

2h30m

25

3h

Solutions

Expert Solution

First we will convert the data into minutes, we have:

Respondent   Hours of S.N.      

1

1h40m=100min             

2

2h30m=150min

3

2h30m=150m

4

2h30m=150m

5

2h10m=130m

6

2h=120m

7

2h=120m

8

3h=180

9

2h20m=140m

10

2h20m=140m

11

2h20m=140m

12

2h40m=160m

13

2h30m=150m

14

2h30m=150m

15

2h30m=150m

16

2h10m=130m

17

2h50m=170m

18

2h50m=170m

19

2h10m=130m

20

2h=120m

21

1h50m=110m

22

1h50m=110m

23

2h40m=160m

24

2h30m=150m

25

3h=180m

Here minimum is 100 and maximum is 180

Therefore the class width is:

h=30, Rounding off to nearest tens.

Hence the frequency distribution is

classes frequency relative frequency

100-130                        6                              6/25=0.24

130-160                      13                               13/25=0.52

160-190                       6

Total       =              25                                     6/25=0.24


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