Find the mean variance standard deviation of objects that a
Find the mean, variance, & standard deviation of objects that are 600mm, 470mm, 170mm, 430mm and 300mm tall.
Solution
600 , 470 , 170 , 430 , 300
MEan = (600 + 470 + 170 + 430 + 300) / 5 = 394
xbar = 394
 Let us find the xbar - xi values :
 394 - 600 = -206
 394 - 470 = -76
 394 - 170 = 224
 394 - 430 = -36
 394 - 300 = 94
(xbar - xi)^2 values now :
(-206)^2 = 42436
 (-76)^2 = 5776
 224^2 = 50176
 (-36)^2 = 1296
 94^2 = 8836
Sum all the above values :
42436 + 576 + 50176 + 1296 + 8836
 108520
Divide this by n(n = number of observations = 5) :
108520
21704
So, variance = 21704
Standard deviation = sqrt(V) =sqrt(21704) = 147.32
Answers :
 MEan = 394
 Variance = 21704
 Standard deviation = 147.32

