Warm Up What is the mean, median, mode and outlier of the following data: 16, 19, 21, 18, 18, 54, 20, 22, 23, 17.

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Presentation transcript:

Warm Up What is the mean, median, mode and outlier of the following data: 16, 19, 21, 18, 18, 54, 20, 22, 23, 17

11-6 Analyzing Data Objective: I can describe and compare data sets using various statistical measures.

Statistical Measures Median: Middle value of an ordered data set Even number: average the two middle values. Mode: Data value that occurs most often. Outlier: Data value substantially different from rest of data Range of a data set: Maximum Value – Minimum Value Percentile: Percent of data less than or equal to chosen value. Also known as “Measures of Central Tendency”

Five-number Summary & Box-and-Whisker Plot Minimum Maximum Median First Quartile Q1 Third Quartile Q Pg. 715 #7–27 odds Mode: Outlier: Value at the 70 th Percentile: None

Grade percentages for this year’s Algebra 2 Find the : Mean Median Mode Range Outliers Your percentile rank Draw a box and whisker plot

11-7 Standard Deviation Objective: I can find and apply the standard deviation for a data set.

Variance: average of deviation squared Mean: Standard Deviation Data − Deviation(Deviation) 2 Distance from mean Standard Deviation: Square root of variance

Using standard deviation to describe data Number of hurricanes in Atlantic Ocean from 1992 to 2006 Year # mean: standard deviation Variation: mean Data falls within ___ standard deviations of the mean. 1.Find the mean, variance and standard deviation for the number of hurricanes. 2.Create a dot plot of the hurricanes ? p.722: 7-13 odd, 14, 16-18, 21