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Chapter 2 and 11

Chapter 2 and 11. Statistics. 2.1 and 2.2: Review of Basic Statistics. Topics covered today: Mean, Median, Mode 5 number summary and box plot Interquartile Range (IQR) and Outliers Notes: Mean, Median, Mode pg. 79 Mean: Median: Mode: Practice: Find the mean, median, and mode of.

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Chapter 2 and 11

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  1. Chapter 2 and 11 Statistics

  2. 2.1 and 2.2: Review of Basic Statistics • Topics covered today: • Mean, Median, Mode • 5 number summary and box plot • Interquartile Range (IQR) and Outliers • Notes: Mean, Median, Mode pg. 79 • Mean: • Median: • Mode: • Practice: Find the mean, median, and mode of

  3. 2.1 and 2.2: Review of Basic Statistics • Notes: 5 number summary and Box Plot pg. 82 • Step 1: Find the median • Step 2: Find the Quartile 1 and 3 values • Step 3: Find the Minimum and Maximum • Step 4: Sketch the box plot • Practice: Sketch the Box Plot • Notes: Outliers, Pg. 82 • Find the IQR (Q3-Q1) • Place the “fences” using the 1.5*IQR rule • Practice

  4. 2.2 and 2.3: Measure of Spread • Topics covered today: • Standard Deviation • Histograms • Percentile Rank • Notes: Standard Deviation Pg. 97 • Step 1: Find the Mean • Step 2: Solve each Deviation (formula = value-mean) • Step 3: Square each Deviation, then Sum up • Step 4: Divide the Sum by n-1 • Step 5: Square Root the Quotient • Standard Deviation: The “average” amount of acceptable error • Practice: Find the standard deviation and explain

  5. 2.2 and 2.3: Measure of Spread • Notes: Histograms Pg. 103 • Bins • Frequency • Practice: • Notes: Percentile Ranks Pg. 105 • The percentage of data values that are BELOW the given value • Practice

  6. 11.2: Probability Distribution • Topics covered today: • Probability Distribution Graph • Notes: Probability Distribution pg. 625 • All probabilities must add up to 1 • p(x) = (# of items in x)/(# in sample set) • Practice Ex A pg. 626

  7. 11.2: Probability Distribution • Practice Ex. B pg. 627 • Class Activity: #12 pg. 630 • Split up into Presidents and Vice Presidents • Required a-c. All students use a bin width of 2

  8. 11.3: Normal Curve • Topics covered today: • Parent Function: Standard Normal Distribution • Mean and Standard Deviation of Normal Distribution • 68-95-99.7 Rule of Deviations • Notes: Standard Normal Distribution pg. 635, 638 • Shape and Properties of graph, NOT the equation! • Notes: Mean and Standard Deviation pg. 638 • Step 1: Locate the Mean • Step 2: Locate the Point of Inflection • Step 3: Label(mean of Normal Curve) and (standard deviation of normal curve

  9. 11.3: Normal Curve • Practice • Notes:68-95-99.7 Rule of Deviations pg. 646 • 68% of the area under a normal curve falls with 1 standard deviation of the mean • 95% within 2 standard deviations • 99.7% within 3 standard deviations • Practice: Mark the 68-95-99.7 on the graphs above

  10. 11.4: Z-values and Confidence Intervals • Topics covered today: • Z-scores • Confidence Intervals • Notes: Z-scores Pg. 646 • Represents the Number of Standard Deviations the data point is from the mean • Practice Ex. A pg. 646 • v

  11. 11.4: Z-values and Confidence Intervals • Practice #2 • Notes: Confidence Intervals: 68-95-99.7 pg. 646 • 68% of the area under a normal curve falls with 1 standard deviation of the mean, 95% within 2 standard deviations, 99.7% within 3 standard deviations • Practice: A data set has and • Find the confidence interval for 68%, 95% and 99.7% • Practice #2: The mean commuting time for a resident of a certain metropolitan area is 38 minutes, with a standard deviation of 10 minutes. • What is the probability that a commute for a randomly chosen resident will be between 28 minutes and 58 minutes?

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