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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.

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2 1 and 2 2 review of basic 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 statistics1
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
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 spread1
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
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 distribution1
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
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 curve1
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
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 intervals1
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?