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Yes. If a score is below the mean, the z score will be negative.

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Q: Is it true any score with value less than the population mean will have a negative z-score?
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Another name for a standardized value of an observation in a normal distribution?

zscore


What is the meaning of a negative z score?

A negative z score is a value that is less than the mean value.


What does a negative z-score mean?

z-score of a value=(that value minus the mean)/(standard deviation). So if a value has a negative z-score, then it is below the mean.


Does a negative z score yield a negative probability value?

no, z score can be negative but a probability is a always positive between 0 and 1.


How do you interpret a negative z- score?

A negative z-score indicates that the observed value (or statistic) was below the mean. In non-directional tests, a negative z-score is just as likely as a positive one.


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.


Can a negative z score be greater than a positive z score?

Assume the z-score is relative to zero score. In simple terms, assume that we have 0 < z < z0, where z0 is the arbitrary value. Then, a negative z-score can be greater than a positive z-score (yes). How? Determine the probability of P(-2 < z < 0) and P(0 < z < 1). Then, by checking the z-value table, you should get: P(-2 < z < 0) ≈ 0.47725 P(0 < z < 1) ≈ 0.341345


What is the z-score for the area equals 0.7704?

In a standard normal distribution curve, one half of the area is .5 (or 50%). 0 is the middle value of the z-score. So, for an area of .7704, z must be negative. Also, the area from 0 to z (which is negative) must be equal to .2704. From the normal probability table, this value is -0.74 Therefore, the z-score for the area equals 0.7704 is -0.74


Is A negative z score is unusual?

In general, the answer is no, both negative and positive z score values should be expected. A z-score (or standardize score) is the raw data value minus the mean and then this result divided by the standard deviation. If the data can be considered normally distributed and a random sample is taken from a population, then as the sample size becomes large, approximately half the z-scores should be negative and half of the z-scores should be positive. There are some exceptions. Small data sets may have only positive values. A non-normal (skewed) distribution if skewed to the right, may have, after normalizing, may have a higher portion of z scores as positives.


What is a z-score?

z score is defined as z = (x-mean)/sd, where mean is the mean of the sample (or population) and sd is the standard deviation of the sample or the population. x is the raw score. z-score standardizes the data. The standardized data will have a zero mean and unit variance. It has numerous applications in statistics.


What is the value of negative 9?

negative nine is the value of negative nine


What is the value of a 'z' score of 0?

A z-score of 0 means the value is the mean.