9. A table that lists and shows the number
of times the items occur.
FREQUENCY TABLE
10. Is also known as raw
data has not been
placed in any group
or category after
collection
UNGROUPED DATA
11. 1. Make three columns. Arrange the
data in order in the first column.
2. Make a tally.
3. Count the tallies then write the
frequencies.
4. Total all the frequencies.
STEPS IN CONSTRUCTING OF FREQUENCY
TABLE
12. Below are the results of a survey about the favorite
colors of 15 students in a freshman class. What color is
the most favorite of the students and the least favorite
color?
Example 1:
G R Y W R
V B G Y B
Y R W R G
13. Step 1:
Make three columns. Arrange the data in order in
the first column.
Color Tally Frequency
G R Y W R
V B G Y B
Y R W R G
14. Step 1:
Make three columns. Arrange the data in order in
the first column.
Color Tally Frequency
G R Y W R
V B G Y B
Y R W R G
Green
Red
Yellow
Violet
White
Black
15. Step 2:
Make a tally.
Color Tally Frequency
Green
Red
Yellow
Violet
White
Black
G R Y W R
V B G Y B
Y R W R G
III
IIII
III
I
II
II
16. Step 3:
Count the tallies then write the frequencies.
Color Tally Frequency
Green III
Red IIII
Yellow III
Violet I
White II
Black II
Total:
3
4
3
1
2
2
17. Step 4:
Total all the frequencies.
Color Tally Frequency
Green III 3
Red IIII 4
Yellow III 3
Violet I 1
White II 2
Black II 2
Total:
15
18. An airline asked their passenger on a flight to rate the quality
of their service. The table below shows the ratings of 24
passengers. Make a frequency distribution table of the data
collected. How many passengers gave a rating of 3 and
below?
Example 2
Service
3 5 4 3 4 3
4 2 1 4 3 5
5 1 2 5 3 1
4 3 5 2 5 2
5-Excellent
4-Very Good
3-Good
2-Fair
1-Poor
19. Service Rating Tally Frequency
Excellent
Very good
Good
Fair
Poor
Total:
The rates of 3 and below consist of good (3), fair (2), and
poor (1). Their frequencies are 5,5, and 3, respectively.
Adding these three frequencies will result in 13, the
number of passengers who gave a rating of 3 and
below.
IIII I
IIII
IIII
IIII
III
6
5
5
5
3
24
22. "Maria conducted a survey in her
neighborhood to find out how many books
each household owns. She randomly
surveyed 15 households and recorded the
number of books they had. The results are as
follows:
5 8 5 10 3
12 7 9 6 11
4 7 14 6 10
23. 1. What is the most common number of
books owned by households in the
neighborhood?
2. What is the least common number of
books owned?
3. How many households own between 5 and
10 books (inclusive)?
24. ANSWER!
Number of Books Tally Frequency
3 I 1
4 I 1
5 I 1
6 II 2
7 II 2
8 I 1
9 I 1
10 II 2
11 I 1
12 I 1
13 I 1
14 I 1
Score: 15
25. ANSWER!
1. The most common number of books owned by
households in the neighborhood is 6,7 and 10.
2. The least common number of books owned is 3, 4, 5,
8, 9, 11, 12, 14, and 15
3. To find out how many households own between 5 and
10 books (inclusive), we need to sum up the
frequencies of the numbers between 5 and 10 in the
frequency distribution table. By adding these
frequencies together, we get 1 + 2 + 2 + 1 + 1 + 2 = 9.
So, 9 households own between 5 and 10 books
(inclusive).
26. State the steps in
constructing a frequency
distribution table for
ungrouped data.
27. ASSIGNMEN
T
Instructions: In one whole sheet of paper construct a
frequency data and answer the questions.
An English teacher took a poll of 60 students to find out
which of the plays of Shakespeare they liked best. The
responses she received were as follows:
H
M
M
B
M
V
H
M
M
B
H
M
OT RJ RJ KL H
M
RJ H
M
OT RJ
M
B
OT M
V
H
M
M
B
H
M
M
V
H
M
M
B
M
V
M
V
M
V
KL H
M
RJ
H M M RJ RJ M RJ M H RJ H RJ M RJ H
28. *Note: HM = Hamlet, MB = Macbeth,
OT = Othello, RJ = Romeo and Juliet,
MV = Merchant of Venice, KL = King Lear
1. Create a frequency table.
2. Which was the favorite Shakespearean
play?
3. Which play ranked second?
4. Which play was the least liked play?
#8:After collecting data using different sampling techniques.
What is the next thing to do?
To organize and present the data for interpretation and analysis.
The number of times a specific data value occurs.
#9:List a set of values and how often each one appears.
#13:What are you going to write in the 1st column?
What is the given data all about? (The given data is all about color)
#17:Based on the table, what color is the most favorite and least favorite of the students?
#19:How many passengers gave a rating of 3 and below?
