Chapter 2 and 11

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# Chapter 2 and 11 - PowerPoint PPT Presentation

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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### 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
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
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
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
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
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
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
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
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
11.4: 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?