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NIMCET 2019 Question Paper with solutions
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© examsnet.com
Question : 18
Total: 120
If the mean deviation of the number 1,1 + d, 1 + 2d,..., 1 + 100d from their mean is 255, then d is equal to
10.1
10.2
10.3
10.4
Validate
Solution:
x
=
1
+
1
+
d
+
1
+
2
d
+
.
.
.1
+
100
d
101
x
=
101
2
(
1
+
1
+
100
d
)
101
=
1
+
150
d
[
|
1
−
1
−
50
d
|
+
|
1
+
d
−
1
−
50
d
|
]
MD
(
x
)
=
+
.
.
.
+
|
1
+
100
d
−
1
−
50
d
|
]
101
255
=
2
(
50
d
+
49
d
+
.
.
.
+
2
d
+
d
)
101
255
=
2
×
d
×
50
×
51
2
×
101
d
=
255
×
101
50
×
51
=
101
10
=
101
© examsnet.com
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