Z Score Normal Distribution. F Distribution for α 010. The z-score is the number of standard deviations from the mean. A z score can be placed on a normal distribution curve. In order to use a z-score you need to know the mean μ and also the population.
In case you get a positive z score then you know that the value is above the mean. Z-scores are also called Standard scores z-values normal scores and standardized variables. What you mentioned about normal distribution is not really a condition for using z-score but an additional perk to z-score interpretation. Theres no 095 in z-table but 09495 09505 Since the minimum percentile is 095 so 09505 is the one 09505. Std normal distribution Z table. 112 109 56 88 135 99.
Z-scores range from -3 standard deviations which would fall to the far left of the normal distribution curve up to 3 standard deviations which would fall to the far right of the normal distribution curve.
The random variable of a standard normal distribution is known as the standard score or a z-score. Depending upon the sample size and the shape of the population distribution the sampling distribution of means may be very close to a normal distribution even when the population distribution is not normal. 4 comments 23 votes. I believe this might be referred to as Z because the term standard normal means normal distribution with zero mean but I may be wrong. Wilcoxon Rank Sum table. The z-score is the number of standard deviations from the mean.