(Last + First)/2 = Median = Mean

[YannickD880]

Hi everyone,

I have a question concerning the rule: (Last + First)/2 = Median = Mean.

If a set is evenly spaced --> (Last + First)/2 = Median = Mean. But the constraint only works in this direction.
But what if I know Median = Mean. Can I conclude (Last + First)/2 = Median = Mean, without knowing wheter the set is evenly spaced or not?

Thanks for your help.

[RonPurewal]

But what if I know Median = Mean. Can I conclude (Last + First)/2 = Median = Mean, without knowing wheter the set is evenly spaced or not?

Thanks for your help.

nope

e.g.,
2, 3, 7, 8, 10, 12, 14

(i didn't just make these numbers up at random, by the way... I just took the set 2, 4, 6, 8, 10, 12, 14, which is an evenly spaced set, and messed with the 4 and the 6 in a way that doesn't affect the sum, median, mean, or middle value of the set.)