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JEE Main Math Class 12 Statistics Part 1 Questions
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© examsnet.com
Question : 9
Total: 115
The mean and variance of 5 observations are 5 and 8 respectively. If 3 observations are
1
,
3
,
5
, then the sum of cubes of the remaining two observations is
[1-Feb-2023 Shift 1]
1072
1792
1216
1456
Validate
Solution:
1
+
3
+
5
+
a
+
b
5
=
5
a
+
b
=
16
.
.
.
.
.
.
(
1
)
σ
2
=
∑
x
1
2
5
−
(
∑
x
5
)
2
8
=
1
2
+
3
2
+
5
2
+
a
2
+
b
2
5
−
25
a
2
+
b
2
=
130
. . . (2)
by
(
1
)
,
(
2
)
a
=
7
,
b
=
9
or
a
=
9
,
b
=
7
© examsnet.com
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