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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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slide1

Probability and Statistics

MATH/STAT 352

Spring 2007

Lecture 3:

Numerical summaries

Simple Graphs

UNR, MATH/STAT 352, Spring 2007

slide2

Sample 1

Different locations!

Measurement

Sample 2

Measurement

UNR, MATH/STAT 352, Spring 2007

slide3

Sample 1

Measurement

Sample 2

Different spread!

Measurement

UNR, MATH/STAT 352, Spring 2007

slide4

Quantitative measures of

location and spread

UNR, MATH/STAT 352, Spring 2007

slide5

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

slide6

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

slide7

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

slide8

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

slide9

John Wilder Tukey

(June 16, 1915 - July 26, 2000)

UNR, MATH/STAT 352, Spring 2007

slide11

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

slide12

Simple plots: comparative boxplot

UNR, MATH/STAT 352, Spring 2007

slide13

Simple plots: comparative boxplot

UNR, MATH/STAT 352, Spring 2007