The variance is 1.8
Step-by-step explanation:
The formula for variance is;
S²= ∑ (x₁-x')² / n-1
where;
S²=variance
x₁= an x term in the data set
x'=sample mean of data set
n= number of data set
For a table as;
x₁ x' x₁-x' (x₁-x')²
3.5 -0.4 0.16
1.6 -2.3 5.29
2.4 -1.5 2.25
3.7 -0.2 0.04
4.1 0.2 0.04
3.9 0.0 0.00
10 -2.9 8.41
3.6 -0.3 0.09
4.2 0.3 0.09
3.4 -0.5 0.25
3.7 -0.2 0.04
2.2 -1.7 2.89
∑46.3 x' 3.9 ∑ 19.55
x'=46.3/12 = 3.9
Given n=12, hence n-1 =12-1 = 11
19.55/11 =1.777
S²=1.8
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