2.4-MEASURES OF VARIATION. 1) Range – Difference between max & min 2) Deviation – Difference between entry & mean 3) Variance – Sum of differences between entries and mean, divided by population or sample -1. 4) Standard Deviation – Square root of variance. Range.
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41 38 39 45 47 41 44 41 37 42
47-37 = range of 10 or $10,000
47-37 = range of 10 or $10,000
40 23 41 50 49 32 41 29 52 58
47-37 = range of 10 or $10,000
40 23 41 50 49 32 41 29 52 58
47-37 = range of 10 or $10,000
40 23 41 50 49 32 41 29 52 58
58 – 23 = 35 or $35,000
σ = √ Σ(x-µ)² ÷ Ns=√Σ(x-x)²÷(n-1)
N = 10
σ² = SSx/N
N = 10
σ² = SSx/N
σ²= 88.5/10
= 8.85
σ= √σ²
N = 10
σ² = SSx/N
σ²= 88.5/10
= 8.85
σ= √σ²
σ =√8.85 = 2.97
N=10
N=10
σ²=SSx/10
N=10
σ²=SSx/10
σ²=1102.5/10
= 110.25
N=10
σ²=SSx/10
σ²=1102.5/10
= 110.25
σ=√σ²
N=10
σ²=SSx/10
σ²=1102.5/10
= 110.25
σ=√σ²
σ=√110.25
= 10.5
n = 10
n = 10
s²=SSx/(n-1)
n = 10
s²=SSx/(n-1)
s²=88.5/(10-1)
= 88.5/9
=9.83
n = 10
s²=SSx/(n-1)
s²=88.5/(10-1)
= 88.5/9
=9.83
s=3.14
n=10
n=10
s²=SSx/(n-1)
n=10
s²=SSx/(n-1)
s²=1102.5/(10-1)
= 1102.5/9
= 122.5
n=10
s²=SSx/(n-1)
s²=1102.5/(10-1)
= 1102.5/9
= 122.5
s=√s²
n=10
s²=SSx/(n-1)
s²=1102.5/(10-1)
= 1102.5/9
= 122.5
s=√s²
s=√122.5
= 11.07
x=5
s=1.2
x=5
s=0
x=5
s=3.0
N=8
µ=4
σ=
N=8
µ=4
σ=
N=8
µ=4
σ=
N=8
µ=4
σ=0
N=8
µ=4
σ=
N=8
µ=4
σ=
N=8
µ=4
σ=0
N=8
µ=4
σ=1
N=8
µ=4
σ=+ 1 & 3
N=8
µ=4
σ=0
N=8
µ=4
σ=1
N=8
µ=4
σ=2
σ²=