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NIMCET 2015 Question Paper with solutions
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© examsnet.com
Question : 14
Total: 120
If the mean deviation of the numbers 1, 1+d, 1+2d, ..., 1+100d from their mean is 255, then the value of ‘d’ is;
20.0
10.1
20.2
10.0
Validate
Solution:
Mean
=
1
+
1
+
d
+
1
+
2
d
+
.
.
.
+
1
+
100
d
101
Mean
=
101
+
d
(
1
+
2
+
3
+
.
.
.
+
100
)
101
⇒Mean
=
101
+
d
(
100
×
101
2
)
101
=
101
(
1
+
50
d
)
101
=
50
d
+
1
⇒ MD
(
x
)
=
Σ
|
x
1
−
x
|
x
MD
x
=
|
1
−
50
d
−
1
|
+
|
1
+
d
−
50
d
−
1
|
+
.
.
|
1
+
100
d
−
50
d
−
1
|
101
⇒
225
=
(
50
d
+
49
d
+
.
.
.
.
d
)
+
(
d
+
2
d
+
3
d
.
.
.
.50
d
)
101
⇒
225
=
2
d
(
1
+
23
+
.
.
.
.
+
50
)
101
⇒
225
=
2
d
(
50
×
51
)
2
×
101
⇒
d
=
22
×
101
50
×
51
=
8.91
None option is correct
© examsnet.com
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