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Is it true that the mean of a normally distributed variable can be any real number?
Wiki User
∙ 11y ago
no
Wiki User
∙ 11y ago
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How do you find a z score?
If you have a variable X that is normally distributed with mean m and variance s2 then the z-score, Z = (X - m)/s.Z has a standard Normal distribution.
What are the best statistics to use for data that is normally distributed?
The mean and standard deviation. If the data really are normally distributed, all other statistics are redundant.
What is a term in math mean?
A term is a number or the product of a number and variable(s).
What does it mean when data is normally distributed?
It means that the data are distributed according to a probability distribution function known as the normal distribution. This site is useless for showing most mathematical functions but you can Google "normal distribution" to get more details.
If 1000 students take a test that has a mean of 40 minutes a standard deviation of 8 minutes and is normally distributed how many would you expect would finish in less than 40 minutes?
The expected number is 500.
What does it mean when you say a variable is normally distributed?
It means that the probability distribution function of the variable is the Gaussian or normal distribution.
Why is the central limit theorem an important idea for dealing with a population not normally distributed?
According to the Central Limit Theorem, even if a variable has an underlying distribution which is not Normal, the means of random samples from the population will be normally distributed with the population mean as its mean.
Can the mean of a discrete variable like the number of children be normally distributed?
Not really. The distribution is not only discrete but also heavily skewed. However, the average number of children in sets of families can be approximated by the normal distribution.
What is the probabilty that the individuals pressure will be between 120 and 121.8 if the mean pressure is 120 and the standard deviation is 5.6 with a normally distributed variable?
It is 0.37, approx.
What you mean by saying random variable is approximately normally distributed?
Exactly "what it says on the tin"! The distribution is nearly, but not quite, the standard normal, or Gaussiam distribution.
How can you calculate z-score?
If a normally distributed random variable X has mean m and standard deviation s, then z = (X - m)/s
When doing a t-test what does normal distributed in population mean?
It means that the random variable of interest is Normally distributed and so the t-distribution is an appropriate distribution for the test rather than just an approximation.
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.
What will the sampling distribution of the mean be if a population is normally distribution?
Also normally distributed.
How do you find a z score?
If you have a variable X that is normally distributed with mean m and variance s2 then the z-score, Z = (X - m)/s.Z has a standard Normal distribution.
What is z value?
If a random variable (RV) X is distributed Normally with mean m and standard deviation sthenZ = (X - m)/s is the corresponding Normal variable which is distributed with mean 0 and variance 1. The distribution of X is difficult to compute but that for Z is readily available. It can be used to find the probabilities of the RV lying in different domains and thereby for testing hypotheses.
How do you convert a z-score into an x-score?
Suppose m is the mean and s the standard deviation of a random variable, X, which is normally distributed. Then, given Z,X = m + sZ
