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JEE Main Math Class 12 Statistics Part 2 Questions
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© examsnet.com
Question : 5
Total: 28
Let
a
,
b
,
c
∈
N
and
a
<
b
<
c
. Let the mean, the mean deviation about the mean and the variance of the 5 observations
9
,
25
,
a
,
b
,
c
be 18,4 and
136
5
, respectively. Then
2
a
+
b
−
c
is equal to ______.
[8 Apr 2024 Shift 2]
Your Answer:
Validate
Solution:
👈: Video Solution
a
,
b
,
c
∈
N
a
<
b
<
c
x
=
mean
=
9
+
25
+
a
+
b
+
c
5
=
18
a
+
b
+
c
=
56
Mean deviation
=
Σ
|
x
i
|
x
∣
n
=
4
=
9
+
7
+
|
18
−
a
|
+
|
18
−
b
|
+
|
18
−
c
|
=
20
=
|
18
−
a
|
+
|
18
−
b
|
+
|
18
−
c
|
=
4
Variance
=
Σ
|
x
i
−
x
|
2
n
=
136
5
=
81
+
49
+
|
18
−
a
|
2
+
|
18
−
b
|
2
+
|
18
−
c
|
2
=
136
=
(
18
−
a
)
2
+
(
18
−
b
)
2
+
(
18
−
c
)
2
=
6
Possible values
(
18
−
a
)
2
=
1
,
(
18
−
b
)
2
=
1
(
18
−
c
)
2
=
4
a
+
b
+
c
=
56
2
a
+
b
−
c
34
=
19
−
20
=
33
© examsnet.com
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