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MA-250 Probability and Statistics Nazar Khan PUCIT Lecture 2

MA-250 Probability and Statistics Nazar Khan PUCIT Lecture 2

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Page 1: MA-250 Probability and Statistics Nazar Khan PUCIT Lecture 2

MA-250 Probability and Statistics

Nazar KhanPUCIT

Lecture 2

Page 2: MA-250 Probability and Statistics Nazar Khan PUCIT Lecture 2

Descriptive Statistics

• Large amounts of data needs to be summarized– Histogram– Mean and Standard Deviation– The Normal Curve

Page 3: MA-250 Probability and Statistics Nazar Khan PUCIT Lecture 2

Histogram

• To represent distribution of data• Area of a block represents percentage of data

lying within that block• What should be the total area under a

histogram?

Page 4: MA-250 Probability and Statistics Nazar Khan PUCIT Lecture 2
Page 5: MA-250 Probability and Statistics Nazar Khan PUCIT Lecture 2
Page 6: MA-250 Probability and Statistics Nazar Khan PUCIT Lecture 2

Drawing a histogram

• Horizontal scale• Vertical scale• End-point notation

Page 7: MA-250 Probability and Statistics Nazar Khan PUCIT Lecture 2
Page 8: MA-250 Probability and Statistics Nazar Khan PUCIT Lecture 2
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Page 10: MA-250 Probability and Statistics Nazar Khan PUCIT Lecture 2

Variable

• A characteristic that changes from sample to sample in the study– Age, Income, Smoker, Marital Status, Political affiliation, etc

• Qualitative– Marital status, Political affiliation

• Quantitative– Discrete

• Age

– Continuous• Income

Page 11: MA-250 Probability and Statistics Nazar Khan PUCIT Lecture 2

Variable

Quantitative

Discrete Continuous

Qualitative

Page 12: MA-250 Probability and Statistics Nazar Khan PUCIT Lecture 2
Page 13: MA-250 Probability and Statistics Nazar Khan PUCIT Lecture 2

Controlling for a variable

Page 14: MA-250 Probability and Statistics Nazar Khan PUCIT Lecture 2

Cross-tabulation

• To handle confounding factors

Page 15: MA-250 Probability and Statistics Nazar Khan PUCIT Lecture 2

Selective Breeding