Question 1191448
The sample distribution may be considered normal. The mean is the mean. It is a single figure. 
-
The distribution of observed values is not what is normal but the normalized values. The means of samples of the same size taken from the distribution will have a normal distribution with large enough n.
-
The sample sd of sample=n is sigma/sqrt(n).
The sample means of all the samples of a given n have a mean which is mu and a sd which is sigma/sqrt(n)