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Unformatted text preview: lculate median income
Solution:
Cumulative
Income group
Number of
frequency
(Classinterval)
workers
c.f
(Frequency)
1
1
Below 100
21
20
100150
63
42
150200
118
55
200250
180
62
250300
225
45
300350
255
30
350400
280
25
400450
295
15
450500
313
18
500550
323
10
550600
325
2
600 and above
325
111 N 325
=162.5
=
2
2
Here l = 250, N = 325, f = 62, c = 50, m = 118 162.5 − 118 Md = 250+ × 50
62 = 250+35.89
= 285.89
Example 16:
Calculate median from the following data
Value
Frequency 04
5 True 2024
59
1014 f 1519 class
8 Value
10
12interval 7
04
59
1014
1519
2024
2529
3034
3539 5
8
10
12
7
6
3
2
53 0.54.5
4.59.5
9.514.5
14.519.5
19.524.5
24.529.5
29.534.5
34.539.5 c.f
2529
6 3034
3 5
13
23
35
42
48
51
53 53 N = = 26.5
2
2
N
−m
Md = l + 2
×c
f
26.5 − 23
×5
12
= 14.5+1.46 = 15.96 = 14.5 + Example 17:
Following are the daily wages of workers in a textile. Find
the median.
112 3539
2 Wages
( in Rs.)
less than 100
less than 200
less than 300
less than 400
less than 500
less than 600
less than 700
less than 800
less than 900
less than 1000 Number of
workers
5
12
20
32
40
45
52
60
68
75 Solution :
We are given upper limit and less than cumulative
frequencies. First find the classintervals and the frequencies. Since
the values are increasing by 100, hence the width of the class
interval equal to 100.
Class
interval
0100
100200
200300
300 400
400500
500600
600700
700800
800900
9001000 f c.f 5
7
8
12
8
5
7
8
8
7
75 5
12
20
32
40
45
52
60
68
75 N 75 = = 37.5
2
2
113 N 2 −m
Md = l + × c
f 37.5 − 32 = 400 + × 100 = 400 + 68.75 = 468.75
8 Example 18:
Find median for the data given below.
Marks
Number of students
70
Greater than 10
62
Greater than 20
50
Greater than 30
38
Greater than 40
30
Greater than 50
24
Greater than 60
17
Greater than 70
9
Greater than 80
4
Greater than 90
Solution :
Here we are given lower limit and more than cumulative
frequencies.
Class interval
f
More than c.f Less than c.f
8
70
8
1020
20
62
12
2030
32
50
12
3040
4050
8...
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This note was uploaded on 01/18/2014 for the course BUS 100 taught by Professor Moshiri during the Winter '08 term at UC Riverside.
 Winter '08
 Moshiri
 Business

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