Find the Variance 60 , 64 , 70 , 72 , 63

60 , 64 , 70 , 72 , 63
The mean of a set of numbers is the sum divided by the number of terms.
x&OverBar;=60+64+70+72+635
Simplify the numerator.
Add 60 and 64.
x&OverBar;=124+70+72+635
Add 124 and 70.
x&OverBar;=194+72+635
Add 194 and 72.
x&OverBar;=266+635
Add 266 and 63.
x&OverBar;=3295
x&OverBar;=3295
Divide.
x&OverBar;=65.8
Set up the formula for variance. The variance of a set of values is a measure of the spread of its values.
s2=∑i=1n⁡(xi-xavg)2n-1
Set up the formula for variance for this set of numbers.
s=(60-65.8)2+(64-65.8)2+(70-65.8)2+(72-65.8)2+(63-65.8)25-1
Simplify the result.
Simplify the numerator.
Subtract 65.8 from 60.
s=(-5.8)2+(64-65.8)2+(70-65.8)2+(72-65.8)2+(63-65.8)25-1
Raise -5.8 to the power of 2.
s=33.64+(64-65.8)2+(70-65.8)2+(72-65.8)2+(63-65.8)25-1
Subtract 65.8 from 64.
s=33.64+(-1.8)2+(70-65.8)2+(72-65.8)2+(63-65.8)25-1
Raise -1.8 to the power of 2.
s=33.64+3.24+(70-65.8)2+(72-65.8)2+(63-65.8)25-1
Subtract 65.8 from 70.
s=33.64+3.24+4.22+(72-65.8)2+(63-65.8)25-1
Raise 4.2 to the power of 2.
s=33.64+3.24+17.64+(72-65.8)2+(63-65.8)25-1
Subtract 65.8 from 72.
s=33.64+3.24+17.64+6.22+(63-65.8)25-1
Raise 6.2 to the power of 2.
s=33.64+3.24+17.64+38.44+(63-65.8)25-1
Subtract 65.8 from 63.
s=33.64+3.24+17.64+38.44+(-2.8)25-1
Raise -2.8 to the power of 2.
s=33.64+3.24+17.64+38.44+7.845-1
Add 33.64 and 3.24.
s=36.88+17.64+38.44+7.845-1
Add 36.88 and 17.64.
s=54.52+38.44+7.845-1
Add 54.52 and 38.44.
s=92.96+7.845-1
Add 92.96 and 7.84.
s=100.85-1
s=100.85-1
Simplify the expression.
Subtract 1 from 5.
s=100.84
Divide 100.8 by 4.
s=25.2
s=25.2
s=25.2
Approximate the result.
s2≈25.2
Find the Variance 60 , 64 , 70 , 72 , 63

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