Numerical based on median and partican values

Numerical based on median
And partition values

find out the median of the following :
X:
0
1
2
3
4
5
6
7
F:
7
14
18
36
51
54
52
20
(Sol: - 4.5)
2.) Calculate median:
Height in inches:
3-4
4-5
5-6
6-7
7-8
8-9
9-10
10-11
No. of saplings:
3
7
12
16
22
20
13
7
(Sol: -7.55)
Calculate median:
Weekly wages(less than)
425
475
525
575
625
675
725
775
825
875
No. of workers:
2
10
43
123
293
506
719
864
955
1000
(Sol: -673.59)
3.) Find the median
Age(greater than)
0
10
20
30
40
50
60
70
No. of persons:
230
218
200
165
123
73
28
8
(Sol: - 41.6)
4.) Find the median
Mid values:
1500
2500
3500
4500
5500
6500
7500
Frequency:
27
32
65
78
58
32
8
(Sol: -4333.33)
5.) The following table gives the distribution of daily wages of 900 workers. However the frequencies of the classes 40-50 and 50-60 are missing. If the median of the distribution is Rs. 59.25, find the missing frequencies
Wages(Rs)
30-40
40-50
50-60
60-70
70-80
No. of workers:
120
F1
200
F2
185
(Sol: -F1=145, F2=250)


6.) Locate median, Q1, Q3, D4, D7, P26, P45, P66, P70 and P79 from the table:
Age (yrs)
6
7
8
9
10
11
12
13
14
15
No. of children:
32
33
39
43
58
59
52
38
33
13
( Sol : -10,8,12,10,12,8.50,10,11.5,12,12.5)
7.) Calculate median, quartile, 3rd and 6th deciles and 40th and 79th percentiles from the table
Wages per week:
50-100
100-150
150-200
200-250
250-300
300-350
350-400
400-450
450-500
No. of workers:
15
40
35
60
125
100
70
40
15
(Sol: - 290,229.17, 350,250,312.50, 270,337.5)
8.) The following incomplete table gives the number of students in different age groups of town. If the median of distribution is 11 years, find the missing frequencies, N = 300
Age groups:
0-5
5-10
10-15
15-20
20-25
25-30
No. of students:
15
125
F1
66
F2
4
(Sol: - F1= 50, F2=40)
9.) Find the median
Wages:
50-59
60-69
70-79
80-89
90-99
100-109
110-119
Freq:
15
40
50
60
45
40
15
(Sol: -84.08)

Student of Rai Business School - New Delhi

Sanjeev Kumar Singh