3 4 5 3 1 standard deviation
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Answer:
There are two ways to solve this, the graphing calculator way or the long way:
Graphing calculator way:
Plug the numbers into
L
1
. Then go 1 variable stats and plug in
L
1
. Standard deviation is
σ
x
Long way:
Find the mean by adding all the values together and dividing by the number of elements there are:
1
+
2
+
3
+
4
+
5
5
=
3
Take all the values and subtract the mean from them. Then square all the values:
(
1
−
3
)
2
=
4
(
2
−
3
)
2
=
1
(
3
−
3
)
2
=
0
(
4
−
3
)
2
=
1
(
5
−
3
)
2
=
4
Find the mean of these values:
4
+
1
+
0
+
1
+
4
5
=
2
Square root this:
√
2
≈
1.414
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