This document provides information about different types of graphs used to represent data visually. It discusses primary and secondary data, and defines a graph as a diagram that shows relationships between numbers. The main types of graphs covered are bar graphs, double bar graphs, and pictographs. Bar graphs represent data using bars of equal width, while double bar graphs show two sets of data simultaneously for comparison purposes. Pictographs use symbols to pictorial represent data. Examples of each graph type are provided to illustrate their structure and use.

1. bar graph
Subject-Math'S
School-Kendriya Vidyalaya

2. DATA !!
the inforMation colleted in
the caSe iS called data.
Types of DATA
1. PriMary data.
2. Secondary data.

3. primary data & secondary data
 When an inVeStigator collectS data
hiMSelf With a definite Plan or deSign
in hiS/her Mind, it iS called PriMary
data.
 data Which are not originally
collected by the inVeStigator but
they are obtained froM PubliShed or
unPubliShed SourceS are KnoWn aS
Secondary data.

4. What is graph ???
 a diagraM that ShoWS relationShiPS
betWeen nuMberS. graPhS arrange
nuMerical inforMation into a Picture
froM Which it iS often PoSSible to See
oVerall PatternS or trendS in the
inforMation iS called graPh.

5. Types of graph
frequency
There are Three Types of graphs:1. Bar graph.
2. DouBle Bar graph.
3. picTograph.
6
5
4
3
1
0
1
40
35
30
25
Aj y
a
20
Aj y2
a
15
10
5
0
1
2
3
4
5
6
frequency
2
3
5
7
9
11
13
15
17
19

6. What is bar graph ???
•a
Bar
graph
is
a
picTorial
represenTaTion of The numerical DaTa
By a numBer of Bars of uniform wiDTh
erecTeD horizonTally or verTically wiTh
equally spacing BeTween Them.
frequency
6
5
4
3
frequency
2
1
0
1
3
5
7
9
11
13
15
17
19

7. Example of bar graph.
q. in a class of 30 pupils, The
maThemaTics Teacher creaTes The
TaBle Below ThaT gives The scores
The pupils geT in a TesT (The Teacher
scores The TesT from 0 To 20, anD all
The scores are whole numBers) Draw
a Bar graph ?

8. frequency
Solution.
6
5
4
3
frequency
2
1
0
1
3
5
7
9
11
13
15
17
19

9. What is double bar graph.
A bAr grAph showing two sets of dAtA
simultAneously.
it
is
useful
for
compArison of dAtA.
40
35
30
25
Ajay
20
Ajay2
15
10
5
0
1
2
3
4
5
6

10. Example of double bar graph.
40
35
30
25
Ajay
20
Ajay2
15
10
5
0
1
2
3
4
5
6
Name
Ajay
English Hindi Maths Sst.
35
35
32
29
Skt
39
Science
39
Ajay2
39
35
30
32
35
29

11. What is Pictograph ???
• A pictogrAph pictoriAl
representAtion of dAtA using
symbols.

12. Example of Pictograph.
=100 cars one symbol stand for 100 cars
50 cars
July
= 250
August
=300
September
=400

13. $ THANKS FOR YOUR
KIND
CONSIDERATION $
# Made. By –
ajay KuMar #