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Yes, the mean (and median and mode) is the 50th percentile of any normal distribution.

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15y ago

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How much is 84 percentile equals mean plus 1 standard deviation or mean plus 1.4 standard deviation. Can you give me reference also please?

The cumulative probability up to the mean plus 1 standard deviation for a Normal distribution - not any distribution - is 84%. The reference is any table (or on-line version) of z-scores for the standard normal distribution.


What is the different between standard normal distribution and normal distribution?

A normal distribution can have any value for its mean and any positive value for its variance. A standard normal distribution has mean 0 and variance 1.


What properties distinguishes standard normal distribution from other normal distribution?

The normal distribution can have any real number as mean and any positive number as variance. The mean of the standard normal distribution is 0 and its variance is 1.


What characteristics about the Standard Normal Distribution make it different from any normal distribution?

The mean is 0 and the variance is 1. This need not be the case in any other Normal (Gaussian) distribution.


If the mean of a normal distribution i s105 what is the median of the distribution?

In a normal distribution, the mean, median, and mode are all equal. Therefore, if the mean of the distribution is 105, the median of the distribution is also 105. This property holds true for any normal distribution regardless of its standard deviation.


What is the Difference between normal and gaussian distribution?

Actually the normal distribution is the sub form of Gaussian distribution.Gaussian distribution have 2 parameters, mean and variance.When there is zero mean and unit variance the Gaussian distribution becomes normal other wise it is pronounced as Gaussian.Wrong! The standard normal distribution has mean 0 and variance 1, but a normal distribution is the same as the Gaussiand, and can have any mean and variance. Google stackexcange "what-is-the-difference-between-a-normal-and-a-gaussian-distribution"


If the mean is 40 in a normal distribution what is the median?

In a normal distribution, the mean, median, and mode are all equal. Therefore, if the mean is 40, the median is also 40. This property holds true for any normal distribution regardless of its specific values.


A normal distribution can have any mean and any positive standard deviation?

Yes.


Is total area under a normal distribution finite?

Yes, and is equal to 1. This is true for normal distribution using any mean and variance.


What requirements are necessary for a normal probability distribution to be a standard normal probability?

For a normal probability distribution to be considered a standard normal probability distribution, it must have a mean of 0 and a standard deviation of 1. This standardization allows for the use of z-scores, which represent the number of standard deviations a data point is from the mean. Any normal distribution can be transformed into a standard normal distribution through the process of standardization.


What is the difference between a general normal curve and a standard normal curve?

A standard normal distribution has a mean of zero and a standard deviation of 1. A normal distribution can have any real number as a mean and the standard deviation must be greater than zero.


Can a normal distribution have a standard deviation of 1?

Yes, a normal distribution can have a standard deviation of 1. In fact, the standard normal distribution, which is a specific case of the normal distribution, has a mean of 0 and a standard deviation of 1. This allows for easy computation of z-scores, which standardize any normal distribution for comparison. Therefore, a normal distribution with a standard deviation of 1 is a valid and common scenario.

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