The standard Normal distribution

The standard Normal distribution - The standard Normal...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: The standard Normal distribution As the 68–95–99.7 rule suggests, all Normal distributions share many properties. In fact, all Normal distributions are the same if we measure in units of size σ about the mean μ as center. Changing to these units is called standardizing. To standardize a value, subtract the mean of the distribution and then divide by the standard deviation . If x is an observation from a distribution that has mean μ and standard deviation σ , the standardized value of x is A standardized value is often called a z-score. A z-score tells us how many standard deviations the original observation falls away from the mean , and in which direction. Observations larger than the mean are positive when standardized, and observations smaller than the mean are negative Standardizing women’s heights The heights of women aged 20 to 29 are approximately Normal with...
View Full Document

This document was uploaded on 11/02/2011 for the course MATH ma 116 at Montgomery.

Page1 / 3

The standard Normal distribution - The standard Normal...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online