question archive The scores in a sample are 4, 3, 4, and 3
The scores in a sample are 4, 3, 4, and 3
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The scores in a sample are 4, 3, 4, and 3. What is the estimated population variance?
Group of answer choices
A. 0.67
B . 0.50
C. 0.33
D. 0.71
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The answer is:
C. 0.33
Step-by-step explanation
For the given data
mean =(3+4+3+4)/ 4= 3.5
Create the following table.
data data-mean (data - mean)2
3 -0.5 0.25
4 0.5 0.25
4 0.5 0.25
3 -0.5 0.25
Find the sum of numbers in the last column to get.
∑(xi−X bar )2 =
population variance = ∑(xi−X bar )2 / ( n -1 )= 1 / ( 4 -1 )= 0.33
