Illustration 9.4. The first and third columns of Table 9.3 give the frequency distribution of the average monthly earnings of male workers. Calculate the mean earnings. TABLE 9.3. DISTRIBUTION OF MALE WORKERS BY AVERAGE MONTHLY EXPENSES (Computation of Arithmetic Mean ... Long Method) Monthly earnings Mid-point No. of workers Rs Rs Rs m fm 3,600 5,320 6,800 9,630 20,500 23,595 34,080 27.5 - 32.5 30 120 152 32.5-37.5 37.5-42.5 35 40 170 42.5 47.5 45 214 47.5 - 52.5 50 410 52.5 57.5 55 429 57.5 62.5 60 568. 42,250 55,650 68,625 59,600 45,050 23,310 14,440 10,700 5,250 2,750 62.5-67.5 67.5 -72.5 65 650 70 795 72.5 - 77.5 75 915 77.5-82.5 80 745 82.5-87.5 85 530 87.5-92.5 92.5-97.5 97.5 - 102.5 102.5--107.5 107.5-112.5 90 259 95 152 100 107 105 SO 110 25 6,291 4, 31,150
Illustration 9.4. The first and third columns of Table 9.3 give the frequency distribution of the average monthly earnings of male workers. Calculate the mean earnings. TABLE 9.3. DISTRIBUTION OF MALE WORKERS BY AVERAGE MONTHLY EXPENSES (Computation of Arithmetic Mean ... Long Method) Monthly earnings Mid-point No. of workers Rs Rs Rs m fm 3,600 5,320 6,800 9,630 20,500 23,595 34,080 27.5 - 32.5 30 120 152 32.5-37.5 37.5-42.5 35 40 170 42.5 47.5 45 214 47.5 - 52.5 50 410 52.5 57.5 55 429 57.5 62.5 60 568. 42,250 55,650 68,625 59,600 45,050 23,310 14,440 10,700 5,250 2,750 62.5-67.5 67.5 -72.5 65 650 70 795 72.5 - 77.5 75 915 77.5-82.5 80 745 82.5-87.5 85 530 87.5-92.5 92.5-97.5 97.5 - 102.5 102.5--107.5 107.5-112.5 90 259 95 152 100 107 105 SO 110 25 6,291 4, 31,150
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 3BGP
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Transcribed Image Text:llustration 9.4. The first and third columns of Table 9.3 give
the
frequency distribution of the average monthly earnings of male
workers. Calculate the mean earnings.
TABLE 9.3. DISTRIBUTION OF MALE WORKERS BY AVERAGE
MONIHLY EXPENSES
(Computation of Arithmetic Mean . . . Long Method)
Monthly earnings
Mid-point
No. of workers
Rs
Rs
Rs
m
fm
3,600
5,320
6,800
9,630
20,500
23,595
34,080
42,250
27.5 - 32.5
30
120
32.5–37.5
35
152
37.5–42.5
40
170
42.5 47.5
45
214
47.5 – 52.5
50
410
52.5 57.5
55
429
57.5 62.5
60
568.
62.5-67.5
65
650
55,650
68,625
59,600
45,050
23,310
14,440
10,700
5,250
2,750
67.5 -72.5
70
795
72.5 -77.5
77.5-82.5
75
915
80
745
82.5-87.5
85
530
87.5-92.5
90
259
92.5-97.5
95
152
97.5 - 102.5
100
107
102.5--107.5
105
SO
107.5 -112.5
110
25
Σ
6,291
4, 31,1 50
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