Numerical based on mode and miscellaneous

Numerical based on mode and miscellaneous

Calculate mode of the distribution:
Marks:
30-34
35-39
40-44
45-49
50-54
55-59
60-64
Frequency:
3
5
12
18
14
6
2
(Sol: - 47.5)
Calculate mode
Weekly wages:
200-250
250-300
300-350
350-400
400-450
450-500
500-550
550-600
No. of workers:
4
5
20
12
33
17
8
2
(Sol: - 428.38)
Calculate mode
Weights:
Less than 100
100-110
110-120
120-130
130-140
140-150
150-160
160-170
170-180
Frequency:
4
2
18
22
21
19
10
3
1
(Sol: -131.3)
Calculate mode
Mid values:
5
15
25
35
45
55
65
75
Frequency:
7
15
18
30
31
4
3
1
(Sol: - 36.33)
The following table gives the incomplete income distribution of 300 workers of a firm, where the frequencies of the classes 3000-4000 and 5000-6000 are missing. If the mode of the distribution is Rs.4428.57,find the missing frequencies
Monthly income:-
1000-2000
2000-3000
3000-4000
4000-5000
5000-6000
6000-7000
7000-8000
F:
30
35
F1
75
F2
30
15
(Sol: - F1=60, F2=55)
Calculate mean, median and mode for the following distribution
Weekly wages:
105-115
115-125
125-135
135-145
145-155
F:
8
15
25
40
62
(Sol: - 138.87, 141.75, 147.51)
Calculate geometric mean
X: 5 10 15 20 25 30
F: 13 18 50 40 10 6
(Sol: - 14.91)
If AM of two observations is 15 and their GM is 9, find their HM and the two observations.
(Sol: - 5.4, X1 = 27, X2 =3)
Calculate AM,GM and HM,verify that AM > GM > HM
C.I : 5-15 15-25 25-35 35-45 45-55
F: 6 9 15 8 4
(Sol: -28.81, 26.07,22.92)

Student of Rai Business School- New Delhi

Sanjeev Kumar Singh