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What does z stand for in standard deviation equation?

Updated: 8/21/2019
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Q: What does z stand for in standard deviation equation?
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What is the Z score equation?

Given a random variable X with mean M and standard deviation S, Z = (X - M)/S


How do you calculate standard deviation with the help of z-score?

A z-score cannot help calculate standard deviation. In fact the very point of z-scores is to remove any contribution from the mean or standard deviation.


When is a t test better than a z score?

When you don't have the population standard deviation, but do have the sample standard deviation. The Z score will be better to do as long as it is possible to do it.


How do you know if a z score is positive or negative?

A negative Z-Score corresponds to a negative standard deviation, i.e. an observation that is less than the mean, when the standard deviation is normalized so that the standard deviation is zero when the mean is zero.


A z score is most affected by?

standard deviation


Why normality is required for standard deviation application?

Because the z-score table, which is heavily related to standard deviation, is only applicable to normal distributions.


How is the z-score depicted?

z-score of a value=(that value minus the mean)/(standard deviation)


How do you find out the z-score?

z-score of a value=(that value minus the mean)/(standard deviation)


What is meant by a z-score?

z-score of a value=(that value minus the mean)/(standard deviation)


If your mean is 33.7 and your standard deviation is 33.7 what is your z score?

Z-score is the x value minus the mean, all divided by the standard deviation; or z=(x-mu)/sigma. The "x" value needs to be given to answer the question.


What would the Z score be if Z equals 0 and Z equals -1.41?

1.41


When to use z or t-distribution?

If the sample size is large (>30) or the population standard deviation is known, we use the z-distribution.If the sample sie is small and the population standard deviation is unknown, we use the t-distribution