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FREQUENCY DISTRIBUTION TABLEwith explanations and exercises
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Orie
nta
tion
Title 03 Frequency distribution table
Why? This topic explains how to organize a large amount of data for easy analysis.
Learning
Objectives
1. To identify the parts of the frequency distribution table
2. To formulate the equations needed to complete the frequency distribution
table.
Success Criteria To be able to construct a frequency distribution table.
Prerequisites None
Resources Any statistics textbook and internet
Information The frequency distribution table is under descriptive statistics
Exp
loratio
n
Model
Frequency distributions the most convenient way of organizing data is by
constructing a frequency distribution. A frequency distribution is a collection of
observations produced by sorting them into classes and showing their frequency (or
numbers) of occurrences in each class. There are three basic types of frequency
distribution: categorical/ungrouped, and grouped
Below are examples of each:
Categorical/Ungrouped:
Given:
A B A A C C A C C C
C B C B B C B B B C
B C C A C C C B C A
Frequency distribution table
Category Tally Frequency Cummulative Freq.
A IIIII – I 6 6
B IIIII – IIII 9 15
C IIIII – IIIII – IIIII 15 30
Grouped:
Given: To be grouped in to 10 classes
2 8 1 5 9 5 14 10 31 20
15 4 10 6 5 5 1 8 12 10
25 40 31 24 20 20 3 9 15 15
25 8 1 1 16 23 18 25 21 12
Frequency Distribution Table:
Class
Limits
Class
Boundaries
Class
Midpoints
Tally Frequency Cummulative
Freq.
1 – 5 0.5 – 5.5 3 11 11
6 – 10 5.5 – 10.5 8 9 20
11 – 15 10.5 - 15.5 13 6 26
16 – 20 15.5 – 20.5 18 5 31
21 – 25 20.5 – 25.5 23 6 37
26 – 30 25.5 – 30.5 28 0 37
31 – 35 30.5 – 35.5 33 2 39
36 – 40 35.5 – 40.5 38 1 40
Con
cep
t Form
atio
n
Guided Inquiry Questions
Rating: _______
1. What is the difference between the ungrouped and grouped frequency
distribution table?
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2. How do you create the class limits?
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3. How do you create the class boundaries?
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4. How do you create the class midpoint?
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5. How do you create the frequency?
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6. How do you create the cumulative frequency?
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Ap
plic
atio
n
Skill Exercises
Rating: _______
Sample problems
1. Students who applied for scholarship in a certain university were classified
according to their class rank: F – freshman, S – sophomore, J – junior, and
SE - senior. Construct a frequency distribution for the data.
/4
/4
Given:
F S J SE F F F S S J
SE J J J SE SE F SE SE F
SE F F J J S J S F F
Frequency distribution table
Category Tally Frequency Cummulative Freq.
2. Construct a frequency table using 6 classes for the IQ score for a group of
35 high school students.
91 110 80 75 90 95 77
87 112 69 105 79 100 108
95 85 109 100 86 98 90
123 96 90 99 90 80 103
98 71 84 94 93 104 89
Frequency Distribution Table:
Class
Limits
Class
Boundaries
Class
Midpoints
Tally Frequency Cummulative
Freq.
Clo
sure
Validation
Rating: _______
Report your work on the board
Points Requirements
4 The group was able to explain and defend all their answers.
3 The group was able to correct most of their errors cited by other
groups.
2 The group was able to correct some of their errors cited by other
groups.
1 The group was not able to defend any of their answers.
/4
Reflection on Learning
Rating: _______
1. Which part of the data is the most troublesome? Why?
_____________________________________________________________
_____________________________________________________________
_____________________________________________________________
2. Which part is the easiest to do?
_____________________________________________________________
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Self Assessment Rate each other on in terms of the contributions of each in the activity.
Highest is 5 and lowest is 0
Manager = _____ Reader = _____ Secretary = _____ Presenter = _____
Overall Final
Rating:______
Manager = ___/20 Reader = ___/20 Secretary = ___/20 Presenter = ___/20
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