The standardized normal distribution is a type of normal distribution, with a mean of 0 and standard deviation of 1. Z -scores can be looked up in a Z -Table of Standard Normal Distribution, in order to find the area under the standard normal curve, between a score and the mean, between two scores, or above or below a score.

The standard normal distribution allows us to interpret standardized scores and provides us with one table that we may use, in order to compute areas under the normal curve, for an infinite number of data sets, no… It represents a distribution of standardized scores, called z -scores , as opposed to raw scores (the actual data values).

normal distribution — a continuous random variable (RV) where μ is the mean of the distribution and σ is the standard deviation; notation: X ~ N ( μ , σ ). If μ = 0 and σ = 1, the RV is called the…. standard normal distribution — a continuous random variable (RV) X ~ N (0, 1); when X follows the standard normal distribution, it is often noted as Z ~ N (0, 1). standardized normal distribution — a type of normal distribution, with a mean of 0 and standard deviation of 1. z-score — the linear transformation of the form z = x - μ σ ; if this transformation is applied to any normal distribution X ~ N ( μ , σ ), the result is the standard normal distribution Z….

Be able to find the 30 th percentile, and interpret it in a complete sentence; calculate Q 3 = 75 th percentile and Q 1 = 25 th percentile; find k where P ( x ≥ k ) = 0.40. At least translates to greater than or equal to.