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Probability and Statistics. MATH/STAT 352. Spring 2007. Lecture 3: Numerical summaries Simple Graphs. UNR, MATH/STAT 352, Spring 2007. Sample 1. Different locations!. Measurement. Sample 2. Measurement. UNR, MATH/STAT 352, Spring 2007. Sample 1. Measurement. Sample 2.
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Probability and Statistics MATH/STAT 352 Spring 2007 Lecture 3: Numerical summaries Simple Graphs UNR, MATH/STAT 352, Spring 2007
Sample 1 Different locations! Measurement Sample 2 Measurement UNR, MATH/STAT 352, Spring 2007
Sample 1 Measurement Sample 2 Different spread! Measurement UNR, MATH/STAT 352, Spring 2007
Quantitative measures of location and spread UNR, MATH/STAT 352, Spring 2007
N=76, Sample mean = 6.66, Median = 7 Sample St. Dev. = 3.516, Q1=3, Q3=10 IQR=Q3-Q1=7 UNR, MATH/STAT 352, Spring 2007
N=76, Sample mean = 1.536, Median = 0.65 Sample St. Dev. = 5.892, Q1=0.01, Q3=0.95 IQR=Q3-Q1=0.94 UNR, MATH/STAT 352, Spring 2007
N=500, Sample mean = -0.02, Median = 0.03 Sample St. Dev. = 1.02, Q1=-0.64, Q3=0.67 IQR=Q3-Q1=1.31 UNR, MATH/STAT 352, Spring 2007
N=37, Sample mean = 91.62, Median = 92.0 Sample St. Dev. = 6.54, Q1=87.5, Q3=96.0 IQR=Q3-Q1=8.5 UNR, MATH/STAT 352, Spring 2007
John Wilder Tukey (June 16, 1915 - July 26, 2000) UNR, MATH/STAT 352, Spring 2007
Maximal data point within 1.5 IQR of Q3 3-rd quartile, Q3 median 1-st quartile, Q1 Mimimal data point within 1.5 IQR of Q1 Outliers Simple plots: boxplot UNR, MATH/STAT 352, Spring 2007
Simple plots: comparative boxplot UNR, MATH/STAT 352, Spring 2007
Simple plots: comparative boxplot UNR, MATH/STAT 352, Spring 2007