# Data Project: Analyzing the Data and Interpreting the Results

Students analyze and interpret a data set.

## Materials Needed

## Adaptations and Notes

- Additional Questions can be asked to focus the student’s interpretation of the data.

See Teacher Notes for more detail.

## Possible CCSS

### Grade 6

#### Ratios and Proportional relationships 6.RP

**Understand ratio concepts and use ratio reasoning to solve problems. **

1. Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

3. Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

#### Statistics and Probability 6.SP

**Develop understanding of statistical variability.**

1. Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.

2. Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.

3. Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.

#### Summarize and describe distributions.

4. Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

5. Summarize numerical data sets in relation to their context, such as by:

- Reporting the number of observations.
- Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.
- Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.
- Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.

### Grade 7

#### Ratios and Proportional relationships 7.RP

**Analyze proportional relationships and use them to solve real-world and mathematical problems.**

2. Recognize and represent proportional relationships between quantities.

#### Statistics and Probability 7.SP

**Draw informal comparative inferences about two populations.**

3. Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.

4. Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.