Engage New York Module 6
Collecting and Displaying Data
Use this study guide to prepare for your End of Module
Assessment.
The assessment will be given on _________________. You
should be familiar with all topics covered in this study
guide.
1. Vocabulary overview
New terms:
 frequent – most common measurement on a line plot
 key – notation on a graph explaining the value of a unit
 measurement data – data collected after making measurements (such as
the length measurements of different pieces of yarn)
 scaled graphs – bar or picture graph in which the scale uses units with a
value greater than 1
Picture Graphs:
This is a picture graph.
A picture graph uses pictures or
symbols to represent
information.
In this picture graph, the key
tells me that each pile of hay
represents 4 pounds.
Pounds of Food Eaten Daily
Bar Graphs:
A bar graph uses a scale and bars to show information or data rather than
pictures. We can transfer the information from our picture graph into a scaled
bar graph. Since we know each hay stack is worth 4 pounds, we can use a scale
that counts by 4’s on our bar graph. The first two have been done for you.
Finish labeling the side of the bar graph, counting by 4’s.
Pounds of Food Eaten Daily
4
0
A bar graph does not have a key, so you will label the side you just numbered
with information that tells what the numbers mean. In this case, the numbers
refer to pounds of food eaten. Write a label on the side that tells this.
To finish the labeling of your bar graph, you can use the same title as on the
picture graph. Write this at the top of your bar graph. You will also need to
write the names of the four animals at the bottom of your bar graph.
Now you are ready to graph your information. Instead of drawing piles of hay,
we will make bars. I will make the first bar showing how much the cows ate.
According to the picture graph, a cow eats 20 pounds of food a day, so I will
shade in the bar up to the number 20. You finish graphing the rest of the
animals. Pay attention to how much the horse eats!
Picture Graphs Continued:
Use the data from the table to create a picture graph. Remember, your picture
graph will need to be labeled and have a title and a key. You decide what
picture you will use to represent the data and what your scale will be (how
much will each picture be worth).
Favorite Ice Cream
Flavors of Third
Grade Students
Vanilla
12
Chocolate
8
Strawberry 6
Mint
10
Line Plots:
This is an example of a line plot:
The numbers on the bottom of the line
plot refer to how many absences the
students had and the x’s represent the
number of students. In this line plot,
each x represents ONE student.
 Knowing this, how many
students had 5 absences?
There are four x’s above the 5, this means that 4 students had 5 absences.
 How many total students are represented on this line plot?
To figure this out, you have to count the total number of x’s on the line plot. In this case
there are 14 x’s, so that means 14 students are represented on the line plot.
Line plots can be very helpful in organizing and keeping track of data. They help us to see
which measurements occur most frequently and which measurements occur infrequently.
For example, on our line plot, 5 absences is the most common because more students have
5 absences than any other.
Making a Line Plot:
Let’s use the information from the table to finish making a line plot.
Weights of Newborn Babies
at Birth
6½
lbs.
7 lbs.
5 ½ lbs. 5 lbs.
7 lbs.
5 ½ lbs.
6 lbs.
7 lbs.
7 ½ lbs.
8 lbs.
6½
lbs.
5 ½ lbs.
I started the line plot for you. I began the line plot at 5 lbs. because that is the
smallest number in my data table. I also decided to count by halves because my
data includes whole numbers and also halves. I have placed one “x” above the
five because only one baby weighed five pounds at birth. Since three babies
weighed 5 ½ pounds, I drew three x’s above the 5 ½.




Finish my scale.
Title and label the line plot.
Plot your data.
Make a key.
Can you answer these questions about our line plot?
 What are the three most frequent measurements shown on this line
plot? Write them in order from smallest to largest.
 What is the difference in weight of the largest baby and the smallest
baby?
 How many more babies weighed 7 lbs. than 6 and 8 lbs. combined?
(This one is tricky: pay attention to what the question is asking. You must
combine the 6 and 8 lbs. and then find the difference between that
number and 7.)
Practice Test
1. Use the grid to create and label a bar graph that represents the information
given in the picture graph. Make sure to label all parts of your bar graph.
 According to the bar graph, how many more cows and horses are there
than pigs?
 How many total animals are on the farm? (Pay attention to the key!)
How we get to school each day
Walk
40
Bus
25
Parents
60
Bike
Total Number 140
of Students
2. The table shows how the third grade
students of Elmcrest Elementary School arrive
at school each day. Complete the table by
filling in the missing information.
On the following page, use the information
from the table to create and label a picture
graph.
3. Answer the questions about the line plots shown below.
a. How many crayfish did the students
measure? How do you know?
b. What are the two most frequent
measurements on the line plot?
_________________________
4. Construct a line plot using the information from the table.