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CGPSC Prelims GS 2008 Paper (HM)
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© examsnet.com
Question : 84
Total: 100
निम्नलिखित आँकड़ों का माध्य (Mean) और माध्यिका (Median) की गणना कीजिए-
वेतन ( रू.) में
कर्मचारियों कीसंख्या
50
30
70
46
90
65
110
85
130
95
150
100
उत्तर निम्नलिखित कूटों में से चुनिए-
X
=
112.28
,
M
=
116.35
X
=
70.5
,
M
=
72.18
X
=
75.8
,
M
=
74.21
X
=
76.9
,
M
=
78.25
Validate
Solution:
वर्ग अंतराल
वेतन
(
x
)
कर्मचारियों की संख्या (
f
)
संचयीआवृत्ति
d
=
(
x
−
A
)
f.d(c
f
)
40-60
50
30
30
-40
-1200
60-80
70
46
76
-20
-920
80-100
90
65
141
00
000
100-120
110
85
226
+20
+1700
120-140
130
95
321
+40
+3800
140-160
150
100
421
+60
+6000
योग
E
F
=
N
=
421
+60
9380
इसलिए, पद विचलन विधि द्वारा,
माध्य
(
x
)
=
A
+
∑
d
∑
f
यहाँ,
A
=
कल्पित माध्य(Assumed mean)
माना
=
90
∴
x
=
90
+
9380
421
=
90
+
22.28
x
=
112.28
तथा माध्यिका
(
M
)
=
L
1
+
L
2
−
L
1
f
(
N
2
−
C
)
=
100
+
120
−
100
85
(
421
2
−
141
)
=
100
+
20
85
(
69.5
)
=
100
+
16.352
=
116.352
∴
x
=
112.28
,
M
=
116.352
© examsnet.com
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