The document provides an overview of frequency distribution graphs, including their purpose in organizing and presenting data. It details the process of constructing frequency distribution tables and cumulative frequency distributions, offering examples based on student assessment scores. Additionally, it discusses various graphical forms for visual representation of data, such as histograms, frequency polygons, and pie charts.

1. FREQUENCY DISTRIBUTION
Graphs
KAREN GIMENA-DELA RAMA
MAT-ENGLISH

2. • understand how frequency
distribution are used;
• organize data into frequency
distribution table; and
• understand how graphical
presentation of data are used.
LEARNING
OBJECTIVES

3. FREQUENCY
is the number of times a data
value or groups of data values
(called classes) occur in a
data set.

4. FREQUENCY
DISTRIBUTION
is the pattern of frequencies of a
variable. It’s the number of times each
possible value of variable occurs in a
data set. They are visual displays that
organise and present frequency counts
so that the information can be
interpreted more easily.

5. CLASS LIMIT
The class limits are the lowest and the
highest values that can be included in
the class.

6. HOW TO CONSTRUCT
FREQUENCY DISTRIBUTION TABLE
A polygon that has all
equal sides and angles.
REGULAR
POLYGON
IRREGULAR
POLYGON
A polygon that has
unequal sides and angles.
STEPS:
1. Determine the range.
RANGE= Highest Score - Lowest Score

7. HOW TO CONSTRUCT FREQUENCY
DISTRIBUTION TABLE
A polygon that has all
equal sides and angles.
REGULAR
POLYGON
IRREGULAR
POLYGON
A polygon that has
unequal sides and angles.
STEPS:
2. Determine the number of class intervals
Depends on the number of scores
and data.

8. HOW TO CONSTRUCT FREQUENCY
DISTRIBUTION TABLE
A polygon that has all
equal sides and angles.
REGULAR
POLYGON
IRREGULAR
POLYGON
A polygon that has
unequal sides and angles.
STEPS:
3. Determine the size of the interval
Length of C.I, = RANGE
# of class interval

9. H O W T O C O N S T R U C T F R E Q U E N C Y D I S T R I B U T I O N
TA B L E
A polygon that has all
equal sides and angles.
REGULAR
POLYGON
IRREGULAR
POLYGON
A polygon that has
unequal sides and angles.
EXAMPLE:
Contruct a frequency distribution table
using the score of Grade 7 students in
summative assessment in Mapeh 7
15 15 8 21 20 11
12 13 9 22 21 16
17 11 8 17 28 21
21 17 16 18 25 20
12 20 18 21 22 12
1.) Determine the range
Range = HS-LS
2.) Determine the number of class
intervals.
Range = 20
i = 4
3.) Determine the size of the interval.
Length i = R
# of CI
# of i = 6
28 - 8 = 20

10. H O W T O C O N S T R U C T F R E Q U E N C Y D I S T R I B U T I O N
TA B L E
A polygon that has all
equal sides and angles.
REGULAR
POLYGON
IRREGULAR
POLYGON
A polygon that has
unequal sides and angles.
EXAMPLE:
Contruct a frequency distribution table
using the score of Grade 7 students in
summative assessment in Mapeh 7
15 15 8 21 20 11
12 13 9 22 21 16
17 11 8 17 28 21
21 17 16 18 25 20
12 20 18 21 22 12
Range = 20
i = 4
# of i = 6
Score Tally Frequency
7-10
11-14
15-18
19-22
23-26
27-30
f = 30
FREQUENCY TABLE OF THE SCORE OF GRADE 7 STUDENTS IN MAPEH 7
3
6
9
10
1
1

11. Cumulative Frequency Distribution
A Cumulative Frequency Distribution is used to determine how
many or what proportion of the data values are below or above
a certain value.
Cumulative Frequency
Less Than
Method
More Than
Method

12.  More Than Method
Class Interval Upper Limit Frequency, f Cumulative Frequency
10 up to 14 14 5 5
14 up to 18 18 9 14
18 up to 22 22 8 22
22 up to 26 26 4 26
26up to 30 30 4 30
Class Interval Lower Limit Frequency, f Cumulative Frequency
10 up to 14 10 5 30
14 up to 18 14 9 25
18 up to 22 18 8 16
22 up to 26 22 4 8
26up to 30 26 4 4
 Less Than Method

13. Graphs
Group Data Ungroup Data
For Continuous data or
quantitative variables:
The three commonly used
graphic forms are
Histograms
Frequency Polygons
Cumulative Frequency
Curve.
Line graphs
Bar Chart
Pie Chart

14. Histogram
A Histogram is a graph in which the class midpoints or limits
are marked on the horizontal axis and the class frequencies
on the vertical axis. The class frequencies are represented by
the heights of the bars and the bars are drawn adjacent to
each other.

15. Frequency Polygons
A Frequency Polygon consists of line segments connecting the
points formed by the class midpoint and the class frequency.
0
2
4
6
8
10
12 16 20 24 26
Class Midpoint
Frequency

16. Bar Chart
Sukrabad Mirpur Mohammadpur Dhanmondi
0
5
10
15
20
25
30
25
7
12
17
Student’s Living Area
Area
Number
of
Student

17. Line graphs
1990 1995 2000 2005 2010 2015
17
19
23
27
33
41
13
15
19
25
32
38
5
8
12
17
22
29
% of Education by Year In Bangladesh
Total Male Female

18. Pie Chart
CSE
28%
EEE
17%
BBA
11%
Others
44%
DIU Student
CSE EEE BBA Others

19. Any Question ????