Question

The following are SAT Mathematics scores for five students, 490, 580, 450, 570, 650 Calculate the...

The following are SAT Mathematics scores for five students, 490, 580, 450, 570, 650

Calculate the variance and the standard deviation for the observations

Math   Statistics-And-Probability   
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Answer #1

Solution:

Given that,

n = 5

From the data,

Mean : = Xi / n

= (490+580+450+570+650) / 5

= 2740 / 5

= 548

Variance = (Xi - )^2 /n

= ((490-548)^2+(580-548)^2+(450-548)^2+(570-548)^2+(650-548)^2) / 5

= (3364+1024+9604+484+10404) / 5

= 4976

Standard deviation =(Xi - )^2 /n

= Variance

= 4976

= 70.5408

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