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

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

2 11-6 Analyzing Data Objective: I can describe and compare data sets using various statistical measures.

3 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”

4 Five-number Summary & Box-and-Whisker Plot Minimum Maximum Median First Quartile Q1 Third Quartile Q3 62 86 64 7484 Pg. 715 #7–27 odds Mode: Outlier: Value at the 70 th Percentile: None 62 64 64 64 68 70 74 78 80 84 84 86 86

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

6 11-7 Standard Deviation Objective: I can find and apply the standard deviation for a data set.

7 Variance: average of deviation squared Mean: Standard Deviation Data 182 186 182 184 185 184 185 − 2 2 0 1 0 1 4 4 4 0 1 0 1 Deviation(Deviation) 2 Distance from mean Standard Deviation: Square root of variance

8 Using standard deviation to describe data Number of hurricanes in Atlantic Ocean from 1992 to 2006 Year123456789101112131415 #44311103 889479145 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. 1 2 3 ? p.722: 7-13 odd, 14, 16-18, 21


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