the Z score, or standard score.
z-score
The answer depends on the individual measurement in question as well as the mean and standard deviation of the data set.
Suspect you've made a mistake in your calculations.Looking at the Normal curve, the area under it between the mean and 3.09 standard deviations is [approx] 0.4990, ie the probability that the data could exceed 3.09 standard deviations from the mean is 2 x (0.5-0.4990) = 0.002 = 0.2% [using a half-tail table], ie it is quite unlikely that a data point is much further away from the mean than the tables' limit of 3.09.Beyond 3[.09] standard deviations away from the mean, the area under the curve changes very little in the first 4 dp, so [most] tables are going to not be of much help anyway - when 4 standard deviations away are reached, it is almost all the distribution and rounds to 1.So if you are looking at a point greater than 3 standard deviations away from the mean it is either a very unusual event that has caused it, or (more likely) you've made a mistake in your calculations.
1% total 0.5% in either direction
z value looks at standard deviations away from the mean. if its tests scores, a higher positive z value means they are higher away from the mean in a positive direction the opposite is true for a negative z score.
Z-Score tells how many standard deviations a measurement is away from the mean.
z score
z score
z-score
Z-Score.
Z-score
Standard deviation is a measure of the spread of data around the mean. The standardized value or z-score, tells how many standard deviations the measurement is away from the mean, and in which direction.z score = (observation - mean) / standard deviationStandard deviation is the unit measurement. This tells what the value a decimal is.
The answer depends on the individual measurement in question as well as the mean and standard deviation of the data set.
gives a standardized unit that tells how far away each measurement is from the mean
95 percent of measurements are less than 2 standard deviations away from the mean, assuming a normal distribution.
z-score or standard score... tells you how many standard deviations away from the mean a particular number is in relations to all numbers in a population (or sample)
The "z-score" is derived by subtracting the population mean from the measurement and dividing by the population standard deviation. It measures how many standard deviations the measurement is above or below the mean. If the population mean and standard deviation are unknown the "t-distribution" can be used instead using the sample mean and sample deviation.