STA6166 F06-6 Interpreting Shape, Center, and Spread

STA6166 F06-6 Interpreting Shape, Center, and Spread -...

This preview shows pages 1–3. Sign up to view the full content.

Topic (6) INTERPRETING SHAPE, CENTER AND SPREAD 6-1 Topic (6) INTERPRETING SHAPE, CENTER AND SPREAD In addition to simply describing the frequency distribution of a set of data we can also make use of the following. 1. The EMPIRICAL RULE : If the data set displays a frequency distribution that is somewhat symmetric, unimodal, without much skew, and approximately equal length tails then the following is true: a) about 68% of the observations are within 1 standard deviation of the mean, i.e. fall between s x and s x + s x ± = b) about 95% of the observations are within 2 standard deviations of the mean, i.e. fall between s x and s x 2 2 + s x 2 ± = c) > 99% of the observations are within 3 standard deviations of the mean, i.e. fall between s x and s x 3 3 + s x 3 ± =

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

View Full Document
Topic (6) INTERPRETING SHAPE, CENTER AND SPREAD 6-2 The Empirical Rule is useful for summarizing datasets that display approximately Normal shapes. EXAMPLE
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 6

STA6166 F06-6 Interpreting Shape, Center, and Spread -...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online