Learn on PengiBig Ideas Math, Advanced 1Chapter 10: Data Displays

Lesson 1: Stem-and-Leaf Plots

In this Grade 6 lesson from Big Ideas Math Advanced 1, students learn how to create and interpret stem-and-leaf plots by breaking data values into stems and leaves based on place value. The lesson covers ordering data sets, choosing appropriate stems and leaves, reading a key, and building back-to-back stem-and-leaf plots to compare two data distributions. Students also practice describing how data are distributed using real-world contexts such as the ages of U.S. presidents and first ladies.

Section 1

Stem-and-Leaf Plots

Property

A stem-and-leaf plot is a way to organize numerical data that shows both the shape of the data distribution and the actual data values.
To create a stem-and-leaf plot, split each data value into two parts: the "stem" (usually the tens digit or higher place values) and the "leaf" (usually the ones digit).
List the stems vertically in order, then write the corresponding leaves horizontally next to each stem.
This type of graph allows us to identify clusters (data points together in a group), gaps (intervals without any reported values), peaks (stems where there are more leaves than for nearby stems), and outliers (values that are significantly different from the rest of the data).

Examples

Section 2

Creating Stem-and-Leaf Plots

Property

To create a stem-and-leaf plot:
(1) Order data from least to greatest;
(2) Choose stems (typically tens digits) and leaves (typically ones digits);
(3) Write stems vertically to the left of a vertical line;
(4) Write leaves for each stem to the right in numerical order;
(5) Include a key showing what the stem|leaf notation represents.

Examples

Section 3

Back-to-Back Stem-and-Leaf Plots

Property

A back-to-back stem-and-leaf plot displays two data sets side by side using a shared stem column in the middle, with leaves for the first data set on the left and leaves for the second data set on the right.

The leaves on both sides must be ordered from the stem outward (smallest to largest moving away from the stem).

Book overview

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Chapter 10: Data Displays

  1. Lesson 1Current

    Lesson 1: Stem-and-Leaf Plots

  2. Lesson 2

    Lesson 2: Histograms

  3. Lesson 3

    Lesson 3: Shapes of Distributions

  4. Lesson 4

    Lesson 4: Box-and-Whisker Plots

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Stem-and-Leaf Plots

Property

A stem-and-leaf plot is a way to organize numerical data that shows both the shape of the data distribution and the actual data values.
To create a stem-and-leaf plot, split each data value into two parts: the "stem" (usually the tens digit or higher place values) and the "leaf" (usually the ones digit).
List the stems vertically in order, then write the corresponding leaves horizontally next to each stem.
This type of graph allows us to identify clusters (data points together in a group), gaps (intervals without any reported values), peaks (stems where there are more leaves than for nearby stems), and outliers (values that are significantly different from the rest of the data).

Examples

Section 2

Creating Stem-and-Leaf Plots

Property

To create a stem-and-leaf plot:
(1) Order data from least to greatest;
(2) Choose stems (typically tens digits) and leaves (typically ones digits);
(3) Write stems vertically to the left of a vertical line;
(4) Write leaves for each stem to the right in numerical order;
(5) Include a key showing what the stem|leaf notation represents.

Examples

Section 3

Back-to-Back Stem-and-Leaf Plots

Property

A back-to-back stem-and-leaf plot displays two data sets side by side using a shared stem column in the middle, with leaves for the first data set on the left and leaves for the second data set on the right.

The leaves on both sides must be ordered from the stem outward (smallest to largest moving away from the stem).

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 10: Data Displays

  1. Lesson 1Current

    Lesson 1: Stem-and-Leaf Plots

  2. Lesson 2

    Lesson 2: Histograms

  3. Lesson 3

    Lesson 3: Shapes of Distributions

  4. Lesson 4

    Lesson 4: Box-and-Whisker Plots