Mean, median, and mode are all equal in a normal distribution.
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Yes. For example, in the sequence {1,2,2,2,2,3,4,7} 2 is the median, and 2 is also the mode.
Yes it is. The normal distribution is symmetrical around the mode. Therefore the median has to be the same :)
Yes.
In a normal distribution the mean, median and mode are all the same value.
Yes, you can if you have 3 of the same number. For example, 33, 33, 33. Your mean, median and mode will be 33 for all the them.