Average of two unknowns from a five-number mean

Question

Five numbers $5, 6, 11, x, y$ have an average of $20$ . What is the average of $x$ and $y$ ?

Short answer

$39$ . The five numbers total $100$ , so $x+y=100-22=78$ and their mean is $39$ .

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Lessons behind this question

Maximum Likelihood Estimation: Score and Log-Likelihood
Populations, Samples, and Sampling Distributions

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