Source: The World Almanac and Book of Facts. abov - are g -13. Ages of Declarati
ID: 3042838 • Letter: S
Question
Source: The World Almanac and Book of Facts. abov - are g -13. Ages of Declaration of Independencesigners and a 10 cl The ages of the signers of the Declaration of Exer Independence are shown. (Age is approximate since 4,26 3,49 4 3,9 only the birth year appeared in the source, and one has been omitted since his birth year is unknown.) Construct a grouped frequency distribution and a cumulative frequency distribution for the data using 7 classes. (The data for this exercise will be used for Exercise 5 in Section 2-2 and Exercise 23 in Section 3-1.) 5,3 41 54 47 40 39 35 50 37 49 42 70 32 44 52 39 50 40 30 34 69 39 45 33 42 5, So 44 63 60 27v 42 34 50 42 52 38. 36 45 35 43 48 46 31 27 55 63 46 33 60 62 35 46 45 34 53 50 50 Source: The Universal AlmanacExplanation / Answer
Preparatory Work
Minimum value – 27; Maximum value – 70; Extended range – 25 to 73.
For 7 classes, the class width should be 49/7 = 7.
So, the class limits would be: 25 – 31; 32 – 38; …….. ; 67 – 73.
Since age is a continuous variable, class limits should be converted to class boundaries adding and subtracting 0.5 to respective class limits.
Now, to work out the solution,
Class No
(i)
Class Limits
Class
Boundaries
Tally Marks
Frequency
(fi)
Cumulative
Frequency
1
25 – 31
24.5 – 31.5
|||||
5
5
2
32 – 38
31.5 – 38.5
||||| ||||| |
11
16
3
39 – 45
38.5 – 45.5
||||| ||||| ||||| |
16
32
4
46 – 52
45.5 – 52.5
||||| ||||| |||
13
45
5
53 – 59
52.5 – 59.5
|||
3
48
6
60 – 66
59.5 – 66.5
|||||
5
53
7
67 - 73
66.5 – 73.5
||
2
55
Total
-
55
55
Cumulative frequency of ith class, Fi = Fi-1 + fi
DONE
Class No
(i)
Class Limits
Class
Boundaries
Tally Marks
Frequency
(fi)
Cumulative
Frequency
1
25 – 31
24.5 – 31.5
|||||
5
5
2
32 – 38
31.5 – 38.5
||||| ||||| |
11
16
3
39 – 45
38.5 – 45.5
||||| ||||| ||||| |
16
32
4
46 – 52
45.5 – 52.5
||||| ||||| |||
13
45
5
53 – 59
52.5 – 59.5
|||
3
48
6
60 – 66
59.5 – 66.5
|||||
5
53
7
67 - 73
66.5 – 73.5
||
2
55
Total
-
55
55
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