Download Chapter 2: Normal Distributions

Chapter 2: Normal Distributions
“It is not knowledge, but the act of learning, not possession but the act of getting there, which
grants the greatest enjoyment.” – Carl Friedrich Gauss
□ I can describe the location of a point in a distribution.
□ I will find and interpret the percentile of an individual value within a distribution of data.
□ I will estimate percentiles and individual values using a cumulative relative frequency graph.
□ I will find and interpret the standardized score (z-score) of an individual value within a
distribution of data.
□ I will describe the effect of adding, subtracting, multiplying by, or dividing by a constant on the
shape, center, and spread of a distribution of data.
□ I can use properties of normal distributions to solve problems.
□ I will know the properties of density curves and normal curves.
□ I will approximately locate the median and mean of a density curve.
□ I will estimate the mean and standard deviation of a normal curve.
□ I will explain how changing the mean and standard deviation affects the shape of a normal
distribution.
□ I will use the Empirical Rule to approximate the percentage of values within a certain interval.
□ I will calculate and interpret the z-score of an observation.
□ I will use Table A to find the proportion of values within a certain interval.
□ I will use a z-score to determine the actual value of an observation.
□ I will calculate a value given a proportion.
□ I can assess the normality of a distribution.
□ I will construct and evaluate an appropriate graphical display to assess normality.
□ I will use the Empirical Rule to assess normality by determining the proportion of observations
within one, two, and three standard deviations of the mean.
□ I will construct and interpret normal probability plots on the graphing calculator.
Key Vocabulary and Concepts
cumulative relative frequency graph
density curve
Empirical Rule
inflection points
mathematical model
normal curve
normal distribution
normal probability plot
normal proportions
ogive
percentile
standard normal distribution
standardized value
Table A
z-score
Date
Topic/Activity
Wed
10/5
Chapter 1 HW Check
Investigative Task Phase 1 Info Given
Begin Chapter 2
Percentiles and Ogives
Thurs
10/6
z-scores
Fri
10/7
Transforming Data
Mon
10/10
Turn in Phase 1 Data
Transforming Data
Tues
10/11
Density Curves and Normal Distributions
Wed
10/12
Investigative Task Phase 2 Info Given
Normal Calculations
Thurs
10/13
Assessing Normality
Fri
10/14
FRAPPY Quiz
Mon
10/17
Chapter 2 Review
Tues
10/18
Chapter 2 Assessment
Wed
10/19
Early Release Day
Chapter 2 HW Check
Investigative Task Due
Begin Chapter 5
Homework
Note: Quarter 1 Test (on Chapters 4, 1, and 2) is scheduled for Thursday, October 27th.