Humble Independent School District



Chapter 2: Modeling Distributions of Data AP Statistics

Outline Mrs. Harrison

Essential Questions:

1. What are the properties of a density curve?

2. Why are normal curves such an important topic in Statistics?

3. How do you determine the position of an individual observation among a distribution?

4. What happens to numerical measures when data changes?

Knowledge: You should be able to define, illustrate, or calculate the following:

• pth percentile

• Standardizing

• z-score (standardized score)

• Cumulative Relative Frequency Graph

• Transforming Data

• [pic] and s

• µ and σ

• Density Curves

o Area underneath

o Approximate location of [pic], M

• Normal distributions

• 68-5-99.7 rule

• Standard Normal distribution

• Normal Probability Plot

Skills: You should be able to…

• Find and interpret the percentile of an individual value within a distribution of data.

• Estimate percentiles and individual values using a cumulative relative frequency graph.

• Find and interpret the standardized score (z-score) of an individual value within a distribution of data.

• Describe the effect of adding/subtracting or multiplying/dividing by a constant on the shape, center, and spread of a distribution of data.

• Estimate the relative locations of the median and mean on a density curve.

• Explain the distinction between [pic]

• Use the 68-95-99.7 rule to estimate areas in a Normal distribution.

• Find percent of observations above, below, or between given points using the 68-95-99.7 rule, your calculator or the z-table.

• Calculate the point that has a given proportion above or below it.

• Use the 68-95-99.7 rule to compare distributions with the normal distribution

• Determine whether a distribution of data is approximately Normal from graphical and numerical evidence.

• Construct a normal probability plot

|Monday |Tuesday |Wednesday/Thursday |Friday |

|24 |25 |26/27 |28 Pep Rally |

|Measuring Position, Cumulative |Transforming Data (2.1) |Density Curves, 68-95-99.7 Rule, Standard Normal |End of 6 weeks |

|Relative Frequency (2.1) | |Distribution & Normal Calculations (2.2) | |

| | | |Assessing Normality (2.2) |

|1 |2 Senior Panoramic |3/4 |5 |

|Ch. 2 Quiz |Start Vending Machine Problem |Work on Vending Machine Problem |TEST 3: Chapter 2 Normal |

| | |Review Chapter 2 |Distributions |

|8 |9 |10 |11 |12 |

| | | | | |

|Holiday |Student Holiday |Finish Vending Machine | | |

| | |Problem | | |

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