1. I CAN make a frequency table. I CAN make a line plot
I CAN make a frequency table. I CAN make a line plot. I CAN make a frequency table with intervals. I CAN make a histogram.

2. Vocabulary
frequency
frequency table
line plot
histogram

3. The frequency of a data value is the number of times it occurs.
A frequency table tells the number of times an event, category, or group occurs.

4. Example 1: Using Tally Marks to Make a Frequency Table
Students in Mr. Ray’s class recorded their fingerprint patterns. Which type of pattern do most students in Mr. Ray’s class have?
whorl loop whorl loop
arch arch loop whorl
loop arch whorl arch
arch whorl arch loop
Make a table to show each type of fingerprint.

5. Reading Math
A group of four tally marks with a line through it means five t llll = llll llll = 10

6. Example 1 Continued
Students in Mr. Ray’s class recorded their fingerprint patterns. Which type of pattern do more students in Mr. Ray’s class have?
whorl loop whorl loop
arch arch loop whorl
loop arch whorl arch
arch whorl arch loop
Step 1: For each fingerprint, make a tally mark in the appropriate column.
Step 2: Count the number of tally marks for each pattern. This is the frequency.
Loop
Arch
Whorl
Fingerprint Patterns
l l l l 5
The arch pattern is the most common in Mr. Ray’s class.
l l l l l 6
l l l l 5

7. Make a table to organize the data.
You Try! Example 1
Students in Ms. Gracie’s class recorded their fingerprint patterns. Which type of pattern do more students in Ms. Gracie’s class have?
whorl loop whorl loop
arch whorl loop whorl
loop whorl whorl arch
arch whorl arch loop
Make a table to organize the data.

8. You Try! Example 1 Continued
Students in Ms. Gracie’s class recorded their fingerprint patterns. Which type of pattern do more students in Ms. Gracie’sclass have?
whorl loop whorl loop
arch whorl loop whorl
loop whorl whorl arch
arch whorl arch loop
Loop
Arch
Whorl
Fingerprint Patterns
l l l l l l 7
l l l l 4
l l l l 5

9. A line plot uses a number line and x’s to show frequencies of values.

10. Example 2: Making a Line Plot
Students collected tennis balls for a project. The number of balls collected by the students is recorded in the table. Make a line plot of the data. 11 10 15 14 16
Tennis Balls Collected
Step 1: Draw a number line.
x x x x
x x x
x x
x x
Step 2: For each tennis ball, use an x on the number line to represent how many were collected. x

11. You Try! Example 2
Students collected aluminum cans for a project. The number of cans collected by the students is recorded in the table. Make a line plot of the data. 11 15 5 14 7
Cans Collected
x x x
x x x
x x x x x

12. Pages Read Last Weekend
Example 3: Making a Frequency Table with Intervals
Use the data in the table to make a frequency table with intervals. 18 37 34 22 5 7 19 40 15 12
Pages Read Last Weekend

13. Pages Read Last Weekend
Example 3 Continued
Use the data in the table to make a frequency table with intervals
Frequency
31–40
21–30
11–20
1–10
Number
Pages Read Last Weekend
Step 1: Choose equal intervals.
Step 2: Find the number of data values in each interval. Write these numbers in the “Frequency” row.
This table shows that 2 students read between 1 and 10 pages, 4 students read between 11 and 20 pages, 1 person read between 21 and 30 pages, and 3 people read between 31 and 40 pages last weekend.

14. Number of Miles Driven on Saturday
You Try! Example 3
Use the data in the table to make a frequency table with intervals. 38 21 34 27 5 7 19 9 29 17
Number of Miles Driven on Saturday

15. Number of Miles Driven on Saturday
You Try! Example 3 Continued
Use the data in the table to make a frequency table with intervals.
Frequency
31–40
21–30
11–20
1–10
Number
Number of Miles Driven on Saturday
Step 1: Choose equal intervals.
Step 2: Find the number of data values in each interval. Write these numbers in the “Frequency” row.
This table shows that 3 people drove between 1 and 10 miles, 2 people drove between 11 and 20 miles, 3 people drove between 21 and 30 miles, and 2 people drove between 31 and 40 miles on Saturday.

16. A histogram is a bar graph that shows the number of data items that occur within each interval.

17. Example 4: Making a Histogram
Use the frequency table in Example 3 to make a histogram.
Step 1: Choose an appropriate scale and interval.
Step 2: Draw a bar for the number of students in each interval. The bars should touch but not overlap.
Step 3: Label the bars.
Step 4: Title the graph and label the axes.

18. Number of Miles Driven on Saturday
You Try! Example 4
Use the frequency table in You Try! Example 3 to make a histogram.
Step 1: Choose an appropriate scale and interval.
Step 2: Draw a bar for the number of students in each interval. The bars should touch but not overlap.
Number of Miles Driven on Saturday
Number of Miles
People
Step 3: Title the graph and label the axes.

19. Reflection
CAN YOU record and organize data in line plots, frequency tables, and histograms?

20. HOMEWORK
Worksheet 6-4