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In: Statistics and Probability

Answer the following short questions and give a reason to support your answer. Please note that...

Answer the following short questions and give a reason to support your answer. Please note that no marks will be awarded if you do not provide a reason to support your answer.

1. Give two situations in which you would recommend the sample median over the sample mean as a measure of location.(Give statistical comparison)

2. Is the sample mean always larger than the sample median for skewed data?(Give graphic example)

3. Is it true that histograms are a more effective graphical summary than boxplots when comparing two or more samples of data?

4.Is it true that if B is a subset of A then P(A∩Bc)=P(A)−P(Bc)?

5.Is it true that discrete random variables always take integer or whole number values?

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