It’s not much of a shortcut, but some exams will ask you specifically to use the shortcut formula, so I demonstrate it here using the same data from question 1c)
NOTE: Whether you use this formula or the regular variance formula is up to you – They give the EXACT same results.
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Let X = number of prior convictions for prisoners at a state prison at which there are 500 prisoners. (x=0,1,2,3,4)
What is the value of the variance for the prior convictions data?