Week 7: Chapter 13
Week 7: Chapter 13 STAT 1350 Intro to Stats
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This 1 page Class Notes was uploaded by Katie Catipon on Tuesday February 24, 2015. The Class Notes belongs to STAT 1350 Intro to Stats at Ohio State University taught by Alice Miller in Spring2015. Since its upload, it has received 115 views. For similar materials see Intro to Stats in Statistics at Ohio State University.
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Date Created: 02/24/15
Chapter 13 Normal Distributions Density curves Formed by smoothing out edges of a histogram Show the proportion of observations in any region by areas under the curve vs the counts of observations via heights amp areas of bars in a histogram Choose a scale so tat the total area under the curve exactly 1 0 Most useful for describing large numbers of observations 0 Median of density curve equalareas point Quartiles dived the curve into quarters Mean of density curve the point at which the curve would balance if made of solid material Symmetric curve this point is the center Mean of skewed distribution is pulled towards the long tail away from the median Note in a symmetric curve median and mean are the same value center Normal curves Symmetric mean amp median peak Singlepeaked Bellshaped Tails fall of quickly so do not expect outliers Described using mean and standard deviation 0 Standard deviation eye of the curve 0 Points at which curvature occurs located one standard deviation on either side of the meanmedian 0 Mean xes center standard deviation xes shape l changing mean does not change shape only location on axis However changing standard deviation does change shape 6895997 Rule in any normal distribution approx 0 68 of observations fall within 1 standard deviation of the mean 0 95 of observations fall within 2 standard deviations of the mean 0 997 of observations fall within three standard deviations of the mean Standard scores observations expressed in standard deviations above or below the mean of a distribution Standard score observation mean standard deviation Standard scores translate directly into percentiles cth percentile of a distribution is a value such that c percent of the observations lie below it and the rest lie above
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