Yes.
The normal distribution.
Mean
In the normal distribution, the mean and median coincide, and 50% of the data are below the mean.
A normal distribution is symmetrical; the mean, median and mode are all the same, on the line of symmetry (middle) of the graph.
Yes, the mean (and median and mode) is the 50th percentile of any normal distribution.
Mean, median, and mode are all equal in a normal distribution.
The mean, median, and mode of a normal distribution are equal; in this case, 22. The standard deviation has no bearing on this question.
True. You can find many references including wikipedia on the Normal distribution on the internet.
The normal distribution.
Mean
Yes, and they WILL be if the distribution is symmetrical.
No.
No. They are equal only if the distribution is symmetrical.
In the normal distribution, the mean and median coincide, and 50% of the data are below the mean.
A normal distribution is symmetrical; the mean, median and mode are all the same, on the line of symmetry (middle) of the graph.
Yes.
Yes, the mean (and median and mode) is the 50th percentile of any normal distribution.