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# Organizing Data with a Box Plot

Lesson 4 of 19

## Objective: SWBAT construct a box plot and understand how a box plot represents the distribution of data in a data set.

#### Direct Instruction

*10 min*

When teaching this topic, I like to front load the vocabulary of working with a box plot. In Slide 4 of Box Plot_Day 1, I expose students to the terms that are used when working with box plots. When discussing the vocabulary, I work horizontally across the boxes so that students can see a connection between the words used and the plot.

I continually refer back to the beginning of the lesson when students divided data into four equal parts so the term "quartile" (quarter) makes sense to them. Going across the rows the terms would be:

**1st quartile....2nd quartile...3rd quartile**

**lower quartile...median...upper quartile**

**25th percentile...50th percentile...75th percentile**

#### Resources

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#### Investigation

*15 min*

On the front side of Stats_Box_Plot_Introduction, I want my students to connect the idea of dividing a data set into quarters with finding multiples of 25% of a number. This portion of the lesson does require students to understand and think through what they are trying to find (MP1). Hopefully, students will make the connection to the term "percentile" from the vocabulary portion of the lesson. They will begin to understand how the test scores are distributed when they answer Questions 4, 5, and 6.

On the back side of the worksheet, students put the data points in order and divide the data into four equal portions. As a group, we name each of the three divisions they have found using the vocabulary from earlier in the lesson and then construct a box plot on the graph at the bottom of the paper. As a class, we have a discussion about how the same number of scores (4) are in each of the sections of the box plot (MP7).

#### Resources

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#### Closure

*5 min*

The question on Slide 5 of Box_Plot_Day 1 requires students to apply what they have just learned to a more abstract scenario when the data points are not given. I usually give students a couple of minutes to think about what the vocabulary from the question means and allow them to make a sketch of how to visualize the problem. Then I ask them to compare their idea with their partner's and come up with a common answer.

#### Resources

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- LESSON 1: Asking a Statistical Question
- LESSON 2: Measures of Center
- LESSON 3: Practice with Measures of Central Tendency
- LESSON 4: Organizing Data with a Box Plot
- LESSON 5: Understanding Box Plots (with Assessment)
- LESSON 6: Analyzing a Box Plot
- LESSON 7: Constructing a Histogram
- LESSON 8: Modeling with Box Plots and Histograms
- LESSON 9: Connecting Box Plots and Histograms
- LESSON 10: What's this table saying?
- LESSON 11: Creating Two-Way Tables
- LESSON 12: More with Conditional, Joint, and Marginal Frequencies
- LESSON 13: Using a Scatterplot to Model Data
- LESSON 14: A Bivariate Relationship
- LESSON 15: Scatterplots and Non-Linear Data
- LESSON 16: Modeling with Non-Linear Data
- LESSON 17: Analyzing Residuals
- LESSON 18: Creating a Residual Plot
- LESSON 19: Got Ups? A Statistics Unit Task