## 1.10 Unit 1 summary

### 1.10.1 Big ideas

- Data have variance
- Distributions are things

### 1.10.2 You should be able to

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