1.10 Unit 1 summary

1.10.1 Big ideas

• Data have variance
• Distributions are things

1.10.2 You should be able to

Plot distributions

• Make a dotplot of a distribution in TinkerPlots

Describe distributions

• Describe a distribution in terms of shape, center, and spread (using mean and SD as appropriate)
• Calculate the mean and SD of a distribution in TinkerPlots
• Calculate a range of likely values in a distribution using the mean and SD

Describe statistical association

• Describe how the distribution of one variable is related to another variable (statistical association) in terms of strength (strong, moderate, weak, none) and direction (positive or negative)
• Find a regression equation in TinkerPlots

1.10.3 You should understand

• What the mean represents in a distribution and why we use it to summarize the “typical” value in the distribution
• What the standard deviation represents in a distribution and why we use it to summarize the variation in the distribution
• What the correlation statistics represents and how to interpret it
• How to interpret the slope and y-intercept in a regression equation

1.10.4 TinkerPlots™ skills

• Create a dotplot of the distribution of a single variable
• Create a dotplot of a quantitative variable that is split by category
• Create a scatterplot
• Find the mean and SD of a distribution
• Use the Divider tool to select a range of values.
• Calculate the correlation statistic
• Calculate the slope and y-intercept of a regression equation

1.10.5 Vocab

• Distribution
• Mean
• Standard deviation
• Unimodal, bimodal, uniform
• Symmetric, skewed
• Statistical association
• Linear regression, slope, intercept
• Scatterplot