Chapter 2: Normal Distributions
An assessment on Chapter 2 is scheduled for Thursday, September 24th.
The homework check for Chapter 2 is scheduled for Friday, September 25th.
□ 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
mean of a density curve
median of a density curve
normal curve
normal distribution
normal probability plot
normal proportions
ogive
percentile
standard normal distribution
standardized value
Table A
z-score