Find the median of the following data Wages ( in rupees ) : More than 150 , More than - Maths - Statistics

Question

Find the median of the following data
Wages ( in rupees ) : More than 150 , More than
140 , More than 130 , More than 120 , More than 110 , More than 100
, More than 90 More than 80
No of workers : NIL
,12,27,60,105,124,141,150

Manbar Singh · Accepted Answer

By selecting classes for the given data as:80 - 90, 90 - 100, 100 -
110, 110 - 120, 120 - 130, 130 - 140, 140 - 150We write the
frequency distribution as below:

Class
interval (C I)
Frequency
(f)
Cumulative
Frequency (c f)

80 - 90
150 - 141 = 9
9

90 - 100
141 - 124 = 17
26

100 - 110
124 - 105 = 19
45

110 - 120
105 - 60 = 45
90

120 - 130
60 - 27 = 33
123

130 - 140
27 - 12 = 15
138

140 - 150
12 - 0 = 12
150

Hence, n = 150
⇒ n2 = 75Now, 110 - 120 is the class whose cumulative
frequency 90 is greater than 75 Hence, median class is 110 - 120
Thus, l = 110, n2 = 75, cf = 45, f = 45 and h = 10Therefore, Median
= l + n2 - cff × h = 110 + 75 - 4545 × 10 = 110 + 3045
× 10 = 110 + 23 × 10 = 110 + 203 = 110 + 6 67 = 116 67

Class interval (C.I)	Frequency (f)	Cumulative Frequency (c f)
80 - 90	150 - 141 = 9	9
90 - 100	141 - 124 = 17	26
100 - 110	124 - 105 = 19	45
110 - 120	105 - 60 = 45	90
120 - 130	60 - 27 = 33	123
130 - 140	27 - 12 = 15	138
140 - 150	12 - 0 = 12	150

Find the median of the following data. Wages ( in rupees ) : More than 150 , More than 140 , More than 130 , More than 120 , More than 110 , More than 100 , More than 90 . More than 80. No.of workers : NIL ,12,27,60,105,124,141,150.

Find the median of the following data.

Wages ( in rupees ) : More than 150 , More than 140 , More than 130 , More than 120 , More than 110 , More than 100 , More than 90 . More than 80.

No.of workers : NIL ,12,27,60,105,124,141,150.