A set if n=5 measurements consists of the values 33, 27,45,38, 42. 1) Calculate the mean for the population. 2) calculate the deviation 3) calculate the variance and standard deviation for the population
1)
Mean = X / n
= ( 33 + 27 + 45 + 38 + 42) / 5
= 37
Mean for the population = 37
b)
Deviation = | X - | / n . Where is mean
= [ |(33 - 37) | + |(27-37)| + |(45-37)| + |(38-37)| + |(42-37)| ] / 5
= [ 4 + 10 + 8 + 1 + 5 ] / 5
= 5.6
Deviation = 5.6
3)
Variance = (X2 - n2 ) / n
= [ ( 332 + 272 + 452 + 382 + 422) - 5 * 372 ] / 5
= 41.2
Variance for population = 41.2
Standard deviation = Sqrt(Variance)
= Sqrt( 41.2)
= 6.4187
Standard deviation for the population = 6.4187
A set if n=5 measurements consists of the values 33, 27,45,38, 42. 1) Calculate the mean...
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