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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


What is the value of negative 9?

negative nine is the value of negative nine


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.


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 the value of a 'z' score of 0?

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