Normal Distribution - Free MCQ Practice Test with solutions, GATE MA Engineering

In a standard normal distribution the value of mean is o and in normal distribution mean, median and mode coincide.

This is a standard constant.

This is due the behaviour of the pdf of Normal distribution.

Since the normal curve is symmetric about its mean, its skewness is zero. This is a theoretical explanation for mathematical proofs, you can refer to books or websites that speak on the same in detail.

If the mean and standard deviation of a normal variate are 0 and 1 respectively, it is called as standard normal variate. Here the converse is asked.

Due to the very nature of p.m.f of Normal Distribution, the graph appears such that it is symmetric about its mean.

This is the rule on which Normal distribution is defined, no details on this as of why For more knowledge on this aspect, you can refer to any book or website which speaks on the same.

In a standard normal distribution, the value of mean is 0 and in normal distribution mean and mode coincide.

This can be seen in the pdf of normal distribution where standard deviation is a variable.

Named after the one who proposed it. For further details, refer to books or internet.