Question

If k is constant, then Var(k)​

Answer 1

Step-by-step explanation:

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Answer 2

The variance of a constant 'k' is zero.

Explanation:

• Variance is the measurement of how much dispersed are the data points from their mean value.
• It is also the square of the standard deviation of the data.  
• The mathematical value of the variance in terms of the expectation values is given by, $var(x)=E(x^2)-(E(x))^2$  
• Now we know that the expectation value of a constant 'c' is the constant itself.
• Hence we have, $->E(c)=c,\ \ \ ->E(c^2)=c^2$
• Hence for a constant 'k' we get,
•                            $->var(k)=E(k^2)-(E(k))^2 \\->var(k)=k^2-k^2\\->var(k)=0$  
• Hence we get the conclusion that the variance of a constant data value is always zero.