Eligible Content M3.E.1.1.1

 

Help Me To
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Analyze data shown on tables, charts, bar graphs or pictographs using the concepts of largest, smallest, most often, least
often and middle.

 

Did You Know?

Organizing data in a chart or graph enables you to draw conclusions and make predictions.


Check What You Know First

Mary was in a class with 20 students. She wrote a question to find the class’s favorite color.
Look at the following results of a survey and answer the questions.

What color was chosen most often as the favorite?

 

What was the largest number of students who voted for a particular color?

 

If you ordered the numbers in the frequency chart from least to greatest, what corresponding color would
be in the middle of choices?

 

What was the smallest number of students who voted for a particular color?

 

What color was chosen least often as a favorite?

 

Key Vocabulary

An experiment is a test that is done in order to find out something.

An observation is when you watch an event taking place and record what you see.

A survey is a question or set of questions that a group of people are asked.

Results are the answers from a survey.

Outcomes are the possible results of an experiment.

Data is information that is collected on something such as people or things.

To classify is to group pieces of data according to how they are the same, for example, you can classify data
by size, color or shape.

A tally chart is a table that uses tally marks to record data.

A frequency table is a table that uses numbers to record data.

 

Learn About It Now

Data is information on something such as people or things.  Data can be collected by conducting an experiment,
doing an observation or conducting a survey

In the example, a student wanted to find out some information.  She was interested in collecting data on her
class’s favorite color.  She conducted a survey by asking the class a question.  The question was:  What is your
favorite color?  Once she obtained the results or answers from the survey, she needed a way to organize
and display the data.  The possible results from an experiment are called outcomes.

A tally chart is one way to record and organize data. You use tally marks to record the information. 
Then you count the tallies to write the frequency of the numbers in a frequency table.

She discovered that the most often chosen color was red.  Her chart revealed that red was the most favorite
color in this class.  In her class of 20, the largest number of students picking one color was 6.  There were 6
students who liked red the most.  The least often color chosen was blue which means that blue was the least
favorite color for this class.  The smallest number of students picking a color was 2.  Only 2 students selected
blue as their favorite color.  By making a tally chart and frequency table, Mary was able to organize the collected data. 
Now she could view the information more easily making the data more understandable.

 

Let’s Try More Practice With This Experiment

Susan fills a bag with 20 marbles.  There are 7 blue, 2 green 4 yellow and 7 red marbles. 
She pulls a marble from the bag. She records the color on her tally chart. 
She then puts the marble back in the bag and pulls another marble from the bag. 
She pulls a marble from the bag 10 times. 
Below is a list of outcomes for the 10 pulls and Susan’s tally chart.

 

Use Susan’s tally table to answer the questions.


What are the possible outcomes?
(Hint – Name all the colors Susan could pull.  Separate color words with a comma.)

 

What color did she pull the least often?

 

What color did she pull the most often?


How many times did she do the experiment?
(Hint-What is the total of either the tallies or the frequency?)

 

What is the largest number of times she pulled a marble of 1 color?

 

What is the smallest number of times she pulled a marble of 1 color?

 

There was one colored marble pulled the most often.  There was one colored marble pulled the least often. 
What are the colors of the marbles that were in the middle of the number of times pulled?

 

Websites to Check Out For Extra Practice

Click on this website to learn more about tables. After reviewing the information, click on the Tables Quiz.
http://www.mcwdn.org/Graphs/Tables.html

Click on this website to study tables further. After reviewing the information, click on practice and additional practice
at the bottom of the lesson to test your skills on tables.
http://cstl.syr.edu/fipse/TabBar/RevTable/revtable.htm

Click on this website to learn more about bar graphs. After reviewing the information, click on the Bar Graphs Quiz.
http://www.mcwdn.org/Graphs/BarGraph.html

Click on this website to study bar graphs further. After reviewing the information, click on practice and additional practice
at the bottom of the lesson to test your skills on bar graphs.
http://cstl.syr.edu/fipse/TabBar/RevBar/REVBAR.HTM

Click on this website:
http://www.beaconlearningcenter.com/WebLessons/

Then select the following titles for short games/activities authored by Sandi King which
include bar graphs and pictographs.

All The Parts Subject(s): Mathematics (Grade 3 - Grade 5) Description: Students learn the parts of a graph.

How It All Stacks Up Subject(s): Mathematics (Grade 3 - Grade 5) Description: Students interpret and compare
information using a bar graph.

I Am Special Subject(s): Mathematics (Kindergarten - Grade 2) Description: Picture graphs are used in real world
situations as students organize information, record data, and use mathematical language to read and interpret the graphs.

Kids Have Pets Subject(s): Mathematics (Grade 3 - Grade 5) Description: Students learn about the parts of a bar
graph and how to collect information.

Kinds Of Graphs Subject(s): Mathematics (Grade 3 - Grade 5) Description: Students learn about various types of graphs

Play Ball Subject(s): Mathematics (Grade 3 - Grade 5) Description: Students collect data to put on a picture graph.

Push Ups Subject(s): Mathematics (Grade 3 - Grade 5) Description: Students collect data to put on a line graph.