Answer:
The answer is 6.
Explanation:
Note that the formula of variance for calculation purpose is
1
n
n
∑
i
=
1
x
2
i
−
(
1
n
n
∑
i
=
1
x
i
)
2
where
n
is the total number of values in the given data set.
In your given data we have
n
=
5
and the values of
x
i
's are
{
1
,
2
,
3
,
4
,
5
}
.
So, your variance
=
1
5
[
1
2
+
2
2
+
3
2
+
4
2
+
5
2
]
−
(
1
5
⋅
[
1
+
2
+
3
+
4
+
5
]
)
2
=
11
−
9
=
6