Lesson Overview Section
In Lesson 4 we continue our discussion of describing data through numerical summaries and also think about statistical pictures. An overview of some key questions addressed is given in the table below.
|Question Addressed||Statistical Summary|
|Where are values located along the number line?||
|How variable are the numbers?||
|What is the relative standing of an individual value compared with other numbers on a list?||
|Question Addressed||Statistical Picture|
|How are all of the numbers on a list distributed over the number line?||
How is a categorical variable distributed?
How do categorical variables compare?
Comparative bar graphs
|How do the distributions of two measurement variables compare?||
|How do percentages or averages change over time?||Line graph or time series plot|
|How are two measurement variables associated?||Scatterplot|
- Interpret standard scores as a measure of relative standing on a list.
- Apply the relationship between standard scores and the percentiles of a normal distribution.
- Interpret graphs used with categorical data.
- Interpret scatter plots.
- interpret time series plots and recognize trends and seasonality.
- critique whether graphical presentations provide a fair summary of the data.