2.1 – Describing Location in a Distribution Day 1 on Assignment Guide.

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Presentation transcript:

2.1 – Describing Location in a Distribution Day 1 on Assignment Guide

Percentiles The percent of observations in a set of data that are below a certain value. It is possible to include equal to, but we will strictly do below for consistency

Cumulative Relative Frequency Plot Remember relative frequency is percent Cumulative – running total AKA “Ogives”

Shape for Cumulative Relative Frequency Plot Where is the graph the steepest? What does this mean? Sketch a Cumulative Relative Frequency Plot for this data. Describe the shape. Sketch a Cumulative Relative Frequency Plot for symmetric and skewed left

Check Your Understanding Turn to page 89 and do problems 1 – 4 We will do one at a time on the whiteboards

z-scores Also called standardized value It is unit-less Tells us how many standard deviations away from the mean a particular value is Formula is on your formula sheet and on p. 90

In 2009, the mean number of wins in MLB was 81 with a standard deviation of 11.4 wins. 1.Find and interpret the z-score for the NY Yankees if they had 103 wins. 2.Find and interpret the z-score for the NY Mets if they had 70 wins. 1.z-score = (103-81)/11.4 = Interpret: The NY Yankees were 1.93 standard deviations above the mean number of wins. 2.z-score = (70-81)/11.4 = Interpret: The NY Mets were 0.96 standard deviations below the mean number of wins.