Collect, analyze, display, and interpret data in a variety of graphical methods, including:

a.    line, bar, and circle graphs;

b.    stem-and-leaf plots; and

c.    box-and-whisker plots.

Circle graphs will be limited to halves, fourths, and eighths.

What are some important parts to a graph?

• A title is essential to explain what the graph represents.

• All data categories must have labels.

• A scale should be chosen that is appropriate for the data - it must have equal intervals.

• A key is essential to explain how to read the graph.

Do all graphs display the same type of data?

Different types of graphs are used to display different types of data.

Bar graphs use categorical data to compare data  (e.g., months or eye color).

Line graphs use continuous data to show changes over a period of time (e.g., temperature and time).

Circle graphs show a relationship of the parts to a whole.  

Homework Hotline ~ Graphs

Teachers who have access to Discovery Streaming can show:
Four Main Types of Graphs: Line, Bar, Pie, and Pictograph (8:54)

How can a bar graph be used to analyze, display, and interpret data?

Bar graphs should be utilized to compare counts of different categories (categorical data).

A bar graph uses parallel bars.

• The parallel bars are either horizontal or vertical, used to represent counts for several categories.

• One bar is used for each category with the length of the bar representing the count for that category.

• The width of the bars should be approximately equal to the width of the spaces before, between, and after the bars.

The axis displaying the scale representing the count for the categories should extend one increment above the greatest recorded piece of data. The values should represent equal increments.

Each axis should be labeled, and the graph should have a title.

Statements representing an analysis and interpretation of the characteristics of the data in the graph should be included (e.g., similarities and differences, mode, least and greatest).

Something is missing from the graph above.  Do you know what it is??

How can a line graph be used to analyze, display, and interpret data?

Line graphs should be utilized to show how one variable changes over time.  By looking at a single line graph, you can determine whether the variable is increasing, decreasing, or staying the same over time.

The values along the horizontal axis represent continuous data on a given variable, usually some measure of time, e.g., time in years, months, or days. The data represented on a line graph is referred to as continuous data as it represents data collected over a continuous period of time.

The values along the vertical axis represent the frequency with which those values occur in the data set. The values should represent equal increments of multiples of whole numbers, fractions, or decimals depending upon the data being collected. The scale should extend one increment above the greatest recorded piece of data. Each axis should be labeled and the graph should have a title.

Statements representing an analysis and interpretation of the characteristics of the data in the graph should be included (e.g., trends of increase and /or decrease, least and greatest).

How can a circle graph be used to analyze, display, and interpret data?

Circle graphs show a relationship of the parts to a whole.

More information needs to be added to answer this question...

What is a stem-and-leaf plot and how can it be used to analyze, display, and interpret data?

An understanding of place value is used to organize a set of data into a stem and leaf plot.

Stem-and-leaf plots organize data consecutively.

A stem-and-leaf plot shows the frequency of data and can be used to find the range, the median, and the mode.

What is a box-and-whisker plot and how can it be used to analyze, display, and interpret data?

Box-and-whisker plots show how the data clusters around the middle (median).

A box-and-whisker plot is a graph that uses a rectangle (box) to represent the middle 50% of a set of data and “whiskers” at both ends to represent the remainder of the data.

The five critical points in a box-and-whisker plot are:

• lower extreme

• lower quartile

• median

• upper quartile

• upper extreme

Each of these points represents the bounds for the four quartiles. 

The range is the difference between the upper extreme and the lower extreme. 

The inter quartile range is the difference between the upper quartile and the lower quartile.

Which graphic representations allow measures of central tendency to be easily discovered?

A stem-and-leaf plot shows the frequency of data and can be used to find the range, the median, and the mode.  

Box-and-whisker plots show how the data clusters around the middle (median).

Based on the data, how is the most appropriate graphic representation determined?

Links to Check Out

Displaying Data (click on Lessons)

Lesson 10 - Understanding and Interpreting Graphs

Understanding Graphs (Entertainment)

Stem-and-Leaf Plot Review

Box-and-Whisker Plot Review

Make Your Own Box-and-Whisker Plot

Create a Graph!

Data Analysis Links

Data Picker Activity

More Links

Interactive Movies

Handling Data ~ Interpreting Data

SOL 6.18 ~ Extra Practice

           AIMS Activity ~ Color Samples          AIMS Activity ~ Are You a Square? 

AIMS Activity ~ Are You Ideal?

Technology Integration Ideas

Strategies from VDOE

Organizing Data in a Stem-and-Leaf Plot ~ Check Out Video at the Bottom

Vocabulary Sort

TTAC LESSONS from Enhanced Scope and Sequence

Movie Data     ~     Circle Graphs     ~     Box-and-Whisker Plots

Also check out the resources for the O.R.E.O. (Our Really Exciting Online) Project!!

Return to Mayfield Mathematics