Learn on PengienVision, Mathematics, Grade 5Chapter 10: Represent and Interpret Data

Lesson 2: Make Line Plots

In this Grade 5 lesson from enVision Mathematics Chapter 10, students learn how to display measurement data in a line plot by organizing values on a number line and marking dots to show frequency. The lesson covers working with fractional measurements such as mixed numbers with halves, quarters, and eighths, and using frequency tables as an intermediate step before constructing a line plot. Students practice interpreting line plots to identify which values occur most and least often across real-world data sets.

Section 1

Constructing Dot Plots and Frequency Tables

Property

A dot plot displays the frequency of data along a number line, where each data value is represented by a dot.
A frequency table organizes data by listing each unique value and its frequency, which is the number of times it appears in the data set.

Examples

Section 2

Ordering Data from Least to Greatest

Property

To prepare a data set for plotting, you can organize it by listing all values in order from least to greatest. This is an alternative method to creating a frequency table.

{Raw Data}{Ordered Data} \{ \text{Raw Data} \} \rightarrow \{ \text{Ordered Data} \}

Examples

Section 3

Creating and Reading Dot Plots

Property

An easy graph to make for numerical data is called a dot plot.
To create a dot plot, first draw a number line and then place a dot above the number line at the location of each data value.
If a value is repeated, this is represented by placing another dot above the previous instance(s) of that value.
This type of graph allows us to identify clusters (data points together in a group), gaps (intervals without any reported values), and peaks (data where there are more responses than for nearby values).

Examples

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Constructing Dot Plots and Frequency Tables

Property

A dot plot displays the frequency of data along a number line, where each data value is represented by a dot.
A frequency table organizes data by listing each unique value and its frequency, which is the number of times it appears in the data set.

Examples

Section 2

Ordering Data from Least to Greatest

Property

To prepare a data set for plotting, you can organize it by listing all values in order from least to greatest. This is an alternative method to creating a frequency table.

{Raw Data}{Ordered Data} \{ \text{Raw Data} \} \rightarrow \{ \text{Ordered Data} \}

Examples

Section 3

Creating and Reading Dot Plots

Property

An easy graph to make for numerical data is called a dot plot.
To create a dot plot, first draw a number line and then place a dot above the number line at the location of each data value.
If a value is repeated, this is represented by placing another dot above the previous instance(s) of that value.
This type of graph allows us to identify clusters (data points together in a group), gaps (intervals without any reported values), and peaks (data where there are more responses than for nearby values).

Examples