I received a question that says
Find three numbers which have a mode of 4 and a mean of 6
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Answer: Since the Mode is 4 then we have more than a 4. Either two 4s or three 4s but three 4s don't give a mean of 6 but a mean of 4.
So we have 4,4,x with a mean of 6
(4 + 4 + x)/3 = 6
8 + x = 18 x = 10
The three numbers are 4, 4, 10