A special list

Considering the following conversation, what is the mean of Alice's numbers?

Alice: "I have a special list of numbers. It has a standard deviation of 0."
Bob: "I wonder what the mean of the numbers is."
Alice: "All I can say is that it has a median of 5."
Bob: "Now I know the mean of the numbers!"

Exactly 5 Smaller than 5 Larger than 5

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1 solution

Saya Suka
May 10, 2021

SD = 0 ==> the numbers don't deviate from each other at all ==> the numbers are all the same.

If the median is 5, the every number in her list is also 5. Mean should also be 5.

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