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The following list gives the ages of 50 factory workers. Construct a Grouped Fre

ID: 3021803 • Letter: T

Question

The following list gives the ages of 50 factory workers. Construct a Grouped Frequency Distribution using 7 classes.

50

63

42

28

30

37

29

61

43

43

27

50

28

28

50

62

34

53

21

32

19

41

60

57

22

35

46

32

30

25

36

52

57

29

35

42

57

35

61

46

21

49

26

40

19

18

25

23

47

28


Range:

Class Width:

Fill in the table after creating the frequency distribution on paper. rf and crf are rounded to two decimal places ( Example: .15 not 0.15). Do not worry about the sum of the column being 1.0.

Class
Limits

Class
Boundaries

Midpoint

f

cf

rf

crf

-

-

-

-

-

-

-

-

-

-

-

-

-

-

50

63

42

28

30

37

29

61

43

43

27

50

28

28

50

62

34

53

21

32

19

41

60

57

22

35

46

32

30

25

36

52

57

29

35

42

57

35

61

46

21

49

26

40

19

18

25

23

47

28

Explanation / Answer

Step 1.   Range = maximum value - minimum value = 63- 18 = 45

Step 2. Class widhth= range / no. of class = 45 / 7 = 6.428

Round the number from Step 2, up to a whole number to get the class width. Rounded up, 6.428 becomes 7

Cumulative Relative Relative Ccumulative U.L Class Limit Class Boundary Mid points Frequency Frequency Frequency frequency 24.5 18-24 17.5-24.5 21 7 7 .14 .14 31.5 25-31 24.5-31.5 28 12 19 .24 .38 38.5 32-38 31.5-38.5 35 8 27 .16 .54 45.5 39-45 38.5-45.5 42 6 33 .12 .66 52.5 46-52 45.5-52.5 49 7 40 .14 .8 59.5 53-59 52.5-59.5 56 4 44 .08 .88 Total : 49