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For data sets having a normal distribution, the following properties depend on the mean and the standard deviation. This is known as the Empirical rule. About 68% of all values fall within 1 standard deviation of the mean About 95% of all values fall within 2 standard deviation of the mean About 99.7% of all values fall within 3 standard deviation of the mean. So given any value and given the mean and standard deviation, one can say right away where that value is compared to 60, 95 and 99 percent of the other values. The mean of the any distribution is a measure of centrality, but in case of the normal distribution, it is equal to the mode and median of the distribtion. The standard deviation is a measure of data dispersion or variability. In the case of the normal distribution, the mean and the standard deviation are the two parameters of the distribution, therefore they completely define the distribution. See: http://en.wikipedia.org/wiki/Normal_distribution

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Q: What are importance of mean and standard deviation in the use of normal distribution?

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The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.

Mean 0, standard deviation 1.

It is called a standard normal distribution.

No.

If the samples are drawn frm a normal population, when the population standard deviation is unknown and estimated by the sample standard deviation, the sampling distribution of the sample means follow a t-distribution.

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The standard deviation in a standard normal distribution is 1.

The standard deviation in a standard normal distribution is 1.

The standard normal distribution has a mean of 0 and a standard deviation of 1.

The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.

Mean 0, standard deviation 1.

with mean of and standard deviation of 1.

It is called a standard normal distribution.

normal distribution

The mean and standard deviation.

The standard normal distribution is a special case normal distribution, which has a mean of zero and a standard deviation of one.

No.

normal distribution

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