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z = (75 - 85)/5 = -10/5 = -2

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Q: What is the z score for a score of 75 if the mean of the distribution is 85 and the standard deviation is the distribution is 5?
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In a distribution with a standard deviation of eight an individual score of 42 corresponds to a Z score of -0.5. What is the mean of this distribution?

The mean is 46.


Can The standard deviation of a distribution be a negative value?

No. The standard deviation is not exactly a value but rather how far a score deviates from the mean.


What kind of distribution is a standard z distribution?

It is the normalised Gaussian distribution. To speak of a 'standard z' distribution is somewhat redundant because a z-score is already standardised. A z-score follows a normal or Gaussian distribution with a mean of zero and a standard deviation of one. It's these specific parameters (this mean and standard deviation) that are considered 'standard'. Speaking of a z-score implies a standard normal distribution. This is important because the shape of the normal distribution remains the same no matter what the mean or standard deviation are. As a consequence, tables of probabilities and other kinds of data can be calculated for the standard normal and then used for other variations of the distribution.


A standard normal distribution has a mean of and standard deviation of?

Mean 0, standard deviation 1.


The mean of the distribution is 2.89 with a standard?

The mean of a distribution gives no information about the standard deviation.


What is the z score of 1.0?

It is the value that is one standard deviation greater than the mean of a Normal (Gaussian) distribution.


What does standard deviation describes?

Standard deviation describes the spread of a distribution around its mean.


What is the z value for an IQ score of 100?

IQ is distributed normally, with a mean of 100 and a standard deviation of 15. The z-score of 100 is therefore:(value-mean)*standard deviation= (100-100)*15= 0More generally, a raw score that is equivalent to the mean of a normal distribution will always have a z-score of 0.


How do you calculate Z and T scores?

z=(x-mean)/(standard deviation of population distribution/square root of sample size) T-score is for when you don't have pop. standard deviation and must use sample s.d. as a substitute. t=(x-mean)/(standard deviation of sampling distribution/square root of sample size)


What is the standard deviation of the mean of 9.65?

It depends on what the distribution is. In a Normal or Gaussian distribution, the standard deviation is the square root of the mean, so it could be 3.1 but, again, it depends on the distribution.


Which is better a score of 92 on a test with a mean of 71 and a standard deviation of 15 or a score of 688 on a test with a mean of 493 and a standard deviation of 150?

score of 92


How does standard normal distribution differ from normal distribution?

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