The following list gives the ages of 50 factory workers. Construct a Grouped Fre
ID: 3021259 • 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:
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
-
-
-
-
-
-
-
-
-
-
-
-
-
-
Class
Limits
Class
Boundaries
Midpoint
f
cf
rf
crf
-
-
-
-
-
-
-
-
-
-
-
-
-
-
Explanation / Answer
Range = Maximum value - Minimum value = 63-18 = 45
So,
class width = 45/7 = 6.4286.
This is rounded to 7.
Class limits Class boundaries Midpoint f cf rf crf
18 - 24 17.5 - 24.5 21 7 7 7/50 = .14 .14
25 - 31 24.5 - 31.5 28 12 19 12/50= .24 .38
32 - 38 31.5 - 38.5 35 8 27 8/50= .16 .54
39 - 45 38.5 - 45.5 42 6 33 6/50 = .12 .66
46 - 52 45.5 - 52.5 49 8 41 8/50 = .16 .82
53 - 59 52.5 - 59.5 56 4 45 4/50 = .08 .90
60 - 66 59.5 - 66.5 63 5 50 5/50 = .10 1.00
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