Best Answer

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

Q: Is it true any score with value less than the population mean will have a negative z-score?

Write your answer...

Submit

Still have questions?

Continue Learning about Other Math

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.

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

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

negative nine is the value of negative nine

The opposite is: negative (the absolute value of negative 30).

Related questions

zscore

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

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.

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

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.

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

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

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

negative nine is the value of negative nine

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.

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.

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