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It is the 31st percentile.

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โˆ™ 2015-08-23 14:52:30
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Q: What is the percentile rank of the score 20 in a unit normal distribution that has a population mean of 21 and a variance of 4?
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Related questions

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.

Is continuous distribution normal distribution?

le standard normal distribution is a normal distribution who has mean 0 and variance 1

What is the difference between a normal distribution and the standard normal distribution?

The standard normal distribution is a normal distribution with mean 0 and variance 1.

Is the mean 50 percentile of any normal distribution?

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

What is the difference of a normal distribution and a stardard normal distribution?

The standard normal distribution is a special case of the normal distribution. The standard normal has mean 0 and variance 1.

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"

What are the parameters of normal distribution?

The mean and variance.

What is standard normal distribution of 0.62?

The standard normal distribution has mean 0 and variance 1. It is not clear what 0.62 has to do with the distribution.

What does it mean for a population to be normally distributed?

A Gaussian distribution is the "official" term for the Normal distribution. This is a probability density function, of the exponential family, defined by the two parameters, its mean and variance. A population is said to be normally distributed if the values that a variable of interest can take have a normal or Gaussian distribution within that population.

Carefully define a standard normal distribution?

A mathematical definition of a standard normal distribution is given in the related link. A standard normal distribution is a normal distribution with a mean of 0 and a variance of 1.

What is the shape of a z-score distribution?

The standard normal distribution or the Gaussian distribution with mean 0 and variance 1.

In the standard normal distribution the variance is always 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.

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.

How do you find normal distribution of z-scores?

z-scores are distributed according to the standard normal distribution. That is, with the parameters: mean 0 and variance 1.

How does the number of repetitions effect the shape of the normal distribution?

When we discuss a sample drawn from a population, the larger the sample, or the large the number of repetitions of the event, the more certain we are of the mean value. So, when the normal distribution is considered the sampling distribution of the mean, then more repetitions lead to smaller values of the variance of the distribution.

If the mean of a normal distribution is negative what is the varience?

The variance is always positive. The variance is not directly related to the sign (nor magnitude) of the mean.

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

The mean must be 0 and the variance must be 1.

Find z score for normal distribution for 60th percentile?

it doesn't exist.

Can the variance of a normally distributed random variable be negative?

No. The variance of any distribution is the sum of the squares of the deviation from the mean. Since the square of the deviation is essentially the square of the absolute value of the deviation, that means the variance is always positive, be the distribution normal, poisson, or other.

Do some normal probability distributions have different means and different standard deviations?

Yes. Normal (or Gaussian) distribution are parametric distributions and they are defined by two parameters: the mean and the variance (square of standard deviation). Each pair of these parameters gives rise to a different normal distribution. However, they can all be "re-parametrised" to the standard normal distribution using z-transformations. The standard normal distribution has mean 0 and variance 1.

A score of 0.60 standard deviation represents what score of percentile?

It depends on the underlying distribution. If Gaussian (standrad normal) then the percentile is 77.

Find z score for normal distribution for 50th percentile?

Answer: 0 The z score is the value of the random variable associated with the standardized normal distribution (mean = 0, standard deviation =1). Now, the median and the mean of a normal distribution are the same. The 50 percentile z score = the median = mean = 0.

How many standard normal distributions are there?

Only one. A normal, or Gaussian distribution is completely defined by its mean and variance. The standard normal has mean = 0 and variance = 1. There is no other parameter, so no other source of variability.

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