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Intro to Statistics Data Analysis and Experimental/Survey Design Graphical Representation Measures of Variation Properties of probability Binomial Distribution.

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Presentation on theme: "Intro to Statistics Data Analysis and Experimental/Survey Design Graphical Representation Measures of Variation Properties of probability Binomial Distribution."— Presentation transcript:

1 Intro to Statistics Data Analysis and Experimental/Survey Design Graphical Representation Measures of Variation Properties of probability Binomial Distribution Normal Distribution Central Limit Theorem Estimation Hypothesis Testing Linear Regression Χ ² Distribution Non Para metric Statistics

2 Graphical Representation GUIDING QUESTIONS How can we clearly and concisely represent a data set? How does one get from one graph to another? What does each graph do to uniquely display the data? What additional properties of the data set can be inferred from the graph?

3 Data Analysis and Experimental Design GUIDING QUESTIONS What constitutes a useful and informative survey? What are the components worthy experiment? How does one account for potential lurking variables?

4 Measures of Variation »N janfeb mar apr may june july aug sept oct nov dec avg LOS ANGELES, CA 30 56.8 57.6 58.0 60.1 62.7 65.7 69.1 70.5 69.9 66.8 61.6 56.9 63.0 DETROIT, MI 30 22.9 25.4 35.7 47.3 58.4 67.6 72.3 70.5 63.2 51.2 40.2 28.3 48.6 GUIDING QUESTIONS How can we characterize a whole data set with a single number? How can we measure the extent to which measures of variation represent a data set?

5 Properties of Probability GUIDING QUESTIONS What are the probabilities for independent and dependent events like Card playing and dice throwing? How many ways can we combine and arrange a set of objects?

6 The Binomial Distribution GUIDING QUESTIONS What is the probability that, out of 10 coin flips, you will have 8 heads? What is the probability that guessing on 25 multiple choice questions will result in 10 correct? What is the probability that, upon asking 10 girls to prom, at least 2 will say yes?

7 The Normal Distribution GUIDING QUESTIONS What portion of guests at a concert are taller than 6 feet? What is the probability that a student randomly selected from Crespi will be between the ages of 14 and 16?


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