Introduction to graph of class 8th students. Find a new easy way to understand graph, histogram, double-bar graph, pie-chart etc....This ppt could lead to u a better picture of maths

1. Class 8 1
CLASS - VIII

2. Step 1: (2013) Ask a question to the class consisting of 45
students:
 How many siblings do you have?
Step 2 : Collect the responses.
Suppose the responses are:
 6,2,1,3,4,3,2,6,5,6,1,2,3,3,2,3,2,3,2,1,2,4,4,5,2,1,2,3,2,3,2,3,4,
1,4,5,4,5,2,1,3,2,1,2,1.
Step 3: Do you find it difficult to identify that which student has
given the which one response?
Step 4: Now, we will prepare a table in which the responses are
mentioned in front of student name.
Class 8 2

3. S.N
o.
Student
Name
Number
of siblings
1. Ramesh 6
2. Shipra 2
3. Anuj 1
4. Ankit 3
5. Anit 4
6. Mahima 3
7. Priya 2
8. Shikha 6
9. Reema 5
10. Sonu 6
11. Monu 1
12. Shweta 2
13. Silpa 3
14. Renu 3
15. Ritu 2
Class 8 3
S.N
o.
Student
Name
Number
of siblings
16. Pooja 3
17. Shantnu 2
18. Ekansh 3
19. Dimple 2
20. Richa 1
21. Amit 2
22. Vinit 4
23. Sunil 4
24. Dinesh 5
25. Yash 2
26. Ashish 1
27. Sohan 2
28. Mohan 3
29. Rekha 2
30. Rajesh 3
S.N
o.
Student
Name
Number
of siblings
31. Shreya 2
32. Vani 3
33. Amita 4
34. Pankaj 1
35. Anu 4
36. Om 5
37. Jaya 4
38. Sushma 5
39. Sunita 2
40. Neha 1
41. Atul 3
42. Akash 2
43. Alok 1
44. Vinod 2
45. Sharda 1
6,2,1,3,4,3,2,6,5,6,1,2,3,3,2,3,2,3,2,1,2,4,4,
5,2,1,2,3,2,3,2,3,4,1,4,5,4,5,2,1,3,2,1,2,1.

4. S.N
o.
Student
Name
Number
of siblings
1. Ramesh 6
2. Shipra 2
3. Anuj 1
4. Ankit 3
5. Anit 4
6. Mahima 3
7. Priya 2
8. Shikha 6
9. Reema 5
10. Sonu 6
11. Monu 1
12. Shweta 2
13. Silpa 3
14. Renu 3
15. Ritu 2
Class 8 4
S.N
o.
Student
Name
Number
of siblings
16. Pooja 3
17. Shantnu 2
18. Ekansh 3
19. Dimple 2
20. Richa 1
21. Amit 2
22. Vinit 4
23. Sunil 4
24. Dinesh 5
25. Yash 2
26. Ashish 1
27. Sohan 2
28. Mohan 3
29. Rekha 2
30. Rajesh 3
S.N
o.
Student
Name
Number
of siblings
31. Shreya 2
32. Vani 3
33. Amita 4
34. Pankaj 1
35. Anu 4
36. Om 5
37. Jaya 4
38. Sushma 5
39. Sunita 2
40. Neha 1
41. Atul 3
42. Akash 2
43. Alok 1
44. Vinod 2
45. Sharda 1
What is the no. of student who
have least number of siblings?

5. S.N
o.
Student
Name
Number
of siblings
1. Ramesh 6
2. Shipra 2
3. Anuj 1
4. Ankit 3
5. Anit 4
6. Mahima 3
7. Priya 2
8. Shikha 6
9. Reema 5
10. Sonu 6
11. Monu 1
12. Shweta 2
13. Silpa 3
14. Renu 3
15. Ritu 2
Class 8 5
S.N
o.
Student
Name
Number
of siblings
16. Pooja 3
17. Shantnu 2
18. Ekansh 3
19. Dimple 2
20. Richa 1
21. Amit 2
22. Vinit 4
23. Sunil 4
24. Dinesh 5
25. Yash 2
26. Ashish 1
27. Sohan 2
28. Mohan 3
29. Rekha 2
30. Rajesh 3
S.N
o.
Student
Name
Number
of siblings
31. Shreya 2
32. Vani 3
33. Amita 4
34. Pankaj 1
35. Anu 4
36. Om 5
37. Jaya 4
38. Sushma 5
39. Sunita 2
40. Neha 1
41. Atul 3
42. Akash 2
43. Alok 1
44. Vinod 2
45. Sharda 1
What is the no. of student who
have highest number of siblings?

6. S.N
o.
Student
Name
Number
of siblings
1. Ramesh 6
2. Shipra 2
3. Anuj 1
4. Ankit 3
5. Anit 4
6. Mahima 3
7. Priya 2
8. Shikha 6
9. Reema 5
10. Sonu 6
11. Monu 1
12. Shweta 2
13. Silpa 3
14. Renu 3
15. Ritu 2
Class 8 6
S.N
o.
Student
Name
Number
of siblings
16. Pooja 3
17. Shantnu 2
18. Ekansh 3
19. Dimple 2
20. Richa 1
21. Amit 2
22. Vinit 4
23. Sunil 4
24. Dinesh 5
25. Yash 2
26. Ashish 1
27. Sohan 2
28. Mohan 3
29. Rekha 2
30. Rajesh 3
S.N
o.
Student
Name
Number
of siblings
31. Shreya 2
32. Vani 3
33. Amita 4
34. Pankaj 1
35. Anu 4
36. Om 5
37. Jaya 4
38. Sushma 5
39. Sunita 2
40. Neha 1
41. Atul 3
42. Akash 2
43. Alok 1
44. Vinod 2
45. Sharda 1
What is the no. of student who
have no siblings?

7. S.N
o.
Student
Name
Number
of siblings
1. Ramesh 6
2. Shipra 2
3. Anuj 1
4. Ankit 3
5. Anit 4
6. Mahima 3
7. Priya 2
8. Shikha 6
9. Reema 5
10. Sonu 6
11. Monu 1
12. Shweta 2
13. Silpa 3
14. Renu 3
15. Ritu 2
Class 8 7
S.N
o.
Student
Name
Number
of siblings
16. Pooja 3
17. Shantnu 2
18. Ekansh 3
19. Dimple 2
20. Richa 1
21. Amit 2
22. Vinit 4
23. Sunil 4
24. Dinesh 5
25. Yash 2
26. Ashish 1
27. Sohan 2
28. Mohan 3
29. Rekha 2
30. Rajesh 3
S.N
o.
Student
Name
Number
of siblings
31. Shreya 2
32. Vani 3
33. Amita 4
34. Pankaj 1
35. Anu 4
36. Om 5
37. Jaya 4
38. Sushma 5
39. Sunita 2
40. Neha 1
41. Atul 3
42. Akash 2
43. Alok 1
44. Vinod 2
45. Sharda 1
How many students have siblings
more than 3 but less than 6?

8.  Step 5: To prepare a better visual representation proceed as
follows:
Class 8 8
1 2 3 4 5 6 7
5
10
15
25
30
20
0
Numberofstudents
Number of siblings
Siblings Record 2013

9. S.N
o.
Student
Name
Number
of siblings
1. Ramesh 6
2. Shipra 2
3. Anuj 1
4. Ankit 3
5. Anit 4
6. Mahima 3
7. Priya 2
8. Shikha 6
9. Reema 5
10. Sonu 6
11. Monu 1
12. Shweta 2
13. Silpa 3
14. Renu 3
15. Ritu 2
Class 8 9
S.N
o.
Student
Name
Number
of siblings
16. Pooja 3
17. Shantnu 2
18. Ekansh 3
19. Dimple 2
20. Richa 1
21. Amit 2
22. Vinit 4
23. Sunil 4
24. Dinesh 5
25. Yash 2
26. Ashish 1
27. Sohan 2
28. Mohan 3
29. Rekha 2
30. Rajesh 3
S.N
o.
Student
Name
Number
of siblings
31. Shreya 2
32. Vani 3
33. Amita 4
34. Pankaj 1
35. Anu 4
36. Om 5
37. Jaya 4
38. Sushma 5
39. Sunita 2
40. Neha 1
41. Atul 3
42. Akash 2
43. Alok 1
44. Vinod 2
45. Sharda 1

10. Class 8 10
1 2 3 4 5 6 7
5
10
15
25
30
20
0
8
Numberofstudents
Number of siblings
Siblings Record 2013

11. S.N
o.
Student
Name
Number
of siblings
1. Ramesh 6
2. Shipra 2
3. Anuj 1
4. Ankit 3
5. Anit 4
6. Mahima 3
7. Priya 2
8. Shikha 6
9. Reema 5
10. Sonu 6
11. Monu 1
12. Shweta 2
13. Silpa 3
14. Renu 3
15. Ritu 2
Class 8 11
S.N
o.
Student
Name
Number
of siblings
16. Pooja 3
17. Shantnu 2
18. Ekansh 3
19. Dimple 2
20. Richa 1
21. Amit 2
22. Vinit 4
23. Sunil 4
24. Dinesh 5
25. Yash 2
26. Ashish 1
27. Sohan 2
28. Mohan 3
29. Rekha 2
30. Rajesh 3
S.N
o.
Student
Name
Number
of siblings
31. Shreya 2
32. Vani 3
33. Amita 4
34. Pankaj 1
35. Anu 4
36. Om 5
37. Jaya 4
38. Sushma 5
39. Sunita 2
40. Neha 1
41. Atul 3
42. Akash 2
43. Alok 1
44. Vinod 2
45. Sharda 1

12. Class 8 12
1 2 3 4 5 6 7
5
10
15
25
30
20
0
8
Numberofstudents
Number of siblings
14
Siblings Record 2013

13. S.N
o.
Student
Name
Number
of siblings
1. Ramesh 6
2. Shipra 2
3. Anuj 1
4. Ankit 3
5. Anit 4
6. Mahima 3
7. Priya 2
8. Shikha 6
9. Reema 5
10. Sonu 6
11. Monu 1
12. Shweta 2
13. Silpa 3
14. Renu 3
15. Ritu 2
Class 8 13
S.N
o.
Student
Name
Number
of siblings
16. Pooja 3
17. Shantnu 2
18. Ekansh 3
19. Dimple 2
20. Richa 1
21. Amit 2
22. Vinit 4
23. Sunil 4
24. Dinesh 5
25. Yash 2
26. Ashish 1
27. Sohan 2
28. Mohan 3
29. Rekha 2
30. Rajesh 3
S.N
o.
Student
Name
Number
of siblings
31. Shreya 2
32. Vani 3
33. Amita 4
34. Pankaj 1
35. Anu 4
36. Om 5
37. Jaya 4
38. Sushma 5
39. Sunita 2
40. Neha 1
41. Atul 3
42. Akash 2
43. Alok 1
44. Vinod 2
45. Sharda 1

14. Class 8 14
1 2 3 4 5 6 7
5
10
15
25
30
20
0
8
Numberofstudents
Number of siblings
14
10
Siblings Record 2013

15. S.N
o.
Student
Name
Number
of siblings
1. Ramesh 6
2. Shipra 2
3. Anuj 1
4. Ankit 3
5. Anit 4
6. Mahima 3
7. Priya 2
8. Shikha 6
9. Reema 5
10. Sonu 6
11. Monu 1
12. Shweta 2
13. Silpa 3
14. Renu 3
15. Ritu 2
Class 8 15
S.N
o.
Student
Name
Number
of siblings
16. Pooja 3
17. Shantnu 2
18. Ekansh 3
19. Dimple 2
20. Richa 1
21. Amit 2
22. Vinit 4
23. Sunil 4
24. Dinesh 5
25. Yash 2
26. Ashish 1
27. Sohan 2
28. Mohan 3
29. Rekha 2
30. Rajesh 3
S.N
o.
Student
Name
Number
of siblings
31. Shreya 2
32. Vani 3
33. Amita 4
34. Pankaj 1
35. Anu 4
36. Om 5
37. Jaya 4
38. Sushma 5
39. Sunita 2
40. Neha 1
41. Atul 3
42. Akash 2
43. Alok 1
44. Vinod 2
45. Sharda 1

16. Class 8 16
1 2 3 4 5 6 7
5
10
15
25
30
20
0
8
Numberofstudents
Number of siblings
14
10
6
Siblings Record 2013

17. S.N
o.
Student
Name
Number
of siblings
1. Ramesh 6
2. Shipra 2
3. Anuj 1
4. Ankit 3
5. Anit 4
6. Mahima 3
7. Priya 2
8. Shikha 6
9. Reema 5
10. Sonu 6
11. Monu 1
12. Shweta 2
13. Silpa 3
14. Renu 3
15. Ritu 2
Class 8 17
S.N
o.
Student
Name
Number
of siblings
16. Pooja 3
17. Shantnu 2
18. Ekansh 3
19. Dimple 2
20. Richa 1
21. Amit 2
22. Vinit 4
23. Sunil 4
24. Dinesh 5
25. Yash 2
26. Ashish 1
27. Sohan 2
28. Mohan 3
29. Rekha 2
30. Rajesh 3
S.N
o.
Student
Name
Number
of siblings
31. Shreya 2
32. Vani 3
33. Amita 4
34. Pankaj 1
35. Anu 4
36. Om 5
37. Jaya 4
38. Sushma 5
39. Sunita 2
40. Neha 1
41. Atul 3
42. Akash 2
43. Alok 1
44. Vinod 2
45. Sharda 1

18. Class 8 18
1 2 3 4 5 6 7
5
10
15
25
30
20
0
8
Numberofstudents
Number of siblings
14
10
6 4
Siblings Record 2013

19. S.N
o.
Student
Name
Number
of siblings
1. Ramesh 6
2. Shipra 2
3. Anuj 1
4. Ankit 3
5. Anit 4
6. Mahima 3
7. Priya 2
8. Shikha 6
9. Reema 5
10. Sonu 6
11. Monu 1
12. Shweta 2
13. Silpa 3
14. Renu 3
15. Ritu 2
Class 8 19
S.N
o.
Student
Name
Number
of siblings
16. Pooja 3
17. Shantnu 2
18. Ekansh 3
19. Dimple 2
20. Richa 1
21. Amit 2
22. Vinit 4
23. Sunil 4
24. Dinesh 5
25. Yash 2
26. Ashish 1
27. Sohan 2
28. Mohan 3
29. Rekha 2
30. Rajesh 3
S.N
o.
Student
Name
Number
of siblings
31. Shreya 2
32. Vani 3
33. Amita 4
34. Pankaj 1
35. Anu 4
36. Om 5
37. Jaya 4
38. Sushma 5
39. Sunita 2
40. Neha 1
41. Atul 3
42. Akash 2
43. Alok 1
44. Vinod 2
45. Sharda 1

20. Class 8 20
1 2 3 4 5 6 7
5
10
15
25
30
20
0
8
Numberofstudents
Number of siblings
14
10
6 4 3
Siblings Record 2013

21.  What is the no. of student who have least number of siblings?
Class 8 21
1 2 3 4 5 6 7
5
10
15
25
30
20
0
8
Numberofstudents
Number of siblings
14
10
6 4 3
Ans.
Siblings Record 2013

22.  What is the no. of student who have highest number of
siblings?
Class 8 22
1 2 3 4 5 6 7
5
10
15
25
30
20
0
8
Numberofstudents
Number of siblings
14
10
6 4 3
Ans.
Siblings Record 2013

23.  How many students have siblings more than 3 but less than 6?
Class 8 23
1 2 3 4 5 6 7
5
10
15
25
30
20
0
8
Numberofstudents
Number of siblings
14
10
6 4 3
6 + 4 = 10
Ans.

24.  What is the no. of student who have no siblings?
Class 8 24
1 2 3 4 5 6 7
5
10
15
25
30
20
0
8
Numberofstudents
Number of siblings
14
10
6 4 3
Ans. = 0
Siblings Record 2013

25.  A bar graph is used to show comparison among categories. It
may consist of two or more parallel vertical (or horizontal)
bars (rectangles).
Class 8 25
1 2 3 4 5 6 7
5
10
15
25
20
0
8
Numberofstudents
Number of siblings
14
10
6 4 3
Bars
X-axis
Y-axis
Siblings Record 2013

26. Class 8 26

27. After two year,
 Will the number of siblings of students will be
same?
 Will the highest or lowest no. of siblings be
same as before two years?
 How will teacher identify the change in no. of
siblings of students?
Class 8 27

28. S.N
o.
Student
Name
Number
of siblings
1. Ramesh 7
2. Shipra 2
3. Anuj 1
4. Ankit 3
5. Anit 4
6. Mahima 4
7. Priya 2
8. Shikha 6
9. Reema 7
10. Sonu 6
11. Monu 1
12. Shweta 4
13. Silpa 3
14. Renu 3
15. Ritu 2
Class 8 28
S.N
o.
Student
Name
Number
of siblings
16. Pooja 3
17. Shantnu 2
18. Ekansh 3
19. Dimple 2
20. Richa 3
21. Amit 2
22. Vinit 4
23. Sunil 3
24. Dinesh 5
25. Yash 2
26. Ashish 1
27. Sohan 3
28. Mohan 3
29. Rekha 2
30. Rajesh 3
S.N
o.
Student
Name
Number
of siblings
31. Shreya 2
32. Vani 3
33. Amita 4
34. Pankaj 1
35. Anu 3
36. Om 5
37. Jaya 4
38. Sushma 5
39. Sunita 3
40. Neha 1
41. Atul 3
42. Akash 2
43. Alok 1
44. Vinod 2
45. Sharda 1
No. of siblings 1 2 3 4 5 6 7
No. of students 7 11 14 6 3 3 2
2015

29. Class 8 29
1 2 3 4 5 6 7
5
10
15
25
30
20
0
7
11
14
6
3 3 2
Siblings Record 2015
Y-axis
X-axis
Numberofstudents
Number of siblings
No. of siblings 1 2 3 4 5 6 7
No. of students 7 11 14 6 3 3 2

30. Class 8 30
1 2 3 4 5 6 7
5
10
15
25
30
20
0
Numberofstudents
Number of siblings
7
8
11
14 14
6 6 43 33 2
10
Siblings Record 2013-2015
=
=
2013
2015

31. Class 8 31
 Used to compare the data

32.  If the no. of siblings increases to 20 then is it easy
to plot it on graph paper ?
Class 8 32
No. of siblings 0-5 5-10 10-15 15-20
No. of students 18 13 8 5
Class interval

33. Class 8 33
5 10 15 20
5
10
15
25
30
20
0
18
13
8
Siblings Record 2015
Y-axis
X-axis
Numberofstudents
Number of siblings
No. of siblings 0-5 5-10 10-15 15-20
No. of students 18 13 8 20
20

34.  A Histogram is a bar graph that shows data in intervals. It has
adjacent bars over the intervals.
Class 8 34

35.  Activity
 Pie chart
Class 8 35

36. Class 8 36
Angle
Portion /Part “Pie Slice”
Tyre

37. Class 8 37
 Step 1:Ask student about their favorite subject .
 Step 2: Collect the responses. Suppose responses are:
Hindi, Sanskrit, English, Math, Science, Hindi, English Science,
Sanskrit, English, Science, Sanskrit, English, Science, Hindi,
Sanskrit, Sanskrit, Hindi, English, English
 Step 4: Put your data into a table (like above), then add up all
the to get a total.
 Step 4: Divide each value by the total and multiply by 100 to
get a percentage.

38. Class 8 38
 Step 5: Figure out how many degrees for each "pie slice“. A
Full Circle has 360 degrees, so we do this calculation.
 Step 6:Draw a circle. Then use the protractor to measure the
degrees of each sector.

39. Class 8 39
20%
25%
30%
5%
20%
Favorite Subject
Hindi
Sanskrit
English
Math
Science

40. Class 8 40
 A pie chart displays data, information, and statistics in an
easy-to-read 'pie-slice' format with varying slice sizes telling
you how much of one data element exists. The bigger the slice,
the more of that particular data was gathered.
For example:
20%
25%
30%
5%
20%
Favorite Subject
Hindi
Sanskrit
English
Math
Science

41.  Activity
 Line graph
Class 8 41

42. What is this?
What is our normal body temperature?
Class 8 42
37°C 98.6° F
=
Thermometer

43.  Anita fall sick and she went to doctor. Doctor
asked her to take medicine and record her
body temperature for four days.
Class 8 43
Day 1
35°C
Day 2
39°C
Day 3
36°C
Day 4
37°C

44.  She recorded the temperature as follows:
 She prepared a graph of the data as follows:
 She thought to prepare something different.
Class 8 45
No. of days 1 2 3 4
Temperature recorded 35°C 39°C 36°C 37°C

45. Class 8 46
0
1 2 3 4
20
10
30
40
Temperaturerecorded(in°C)
Number of days
. .
No. of days 1 2 3 4
Temperature recorded 35°C 39°C 36°C 37°C
. .

46. Class 8 47
0
1 2 3 4
20
10
30
40
Temperaturerecorded(in°C)
Number of days
. . . .
Line
graph

47.  A line graph displays data that changes continuously
over periods of time.
Class 8 48
If this line is straight then what it would
be called?

48. Class 8 49
.

49. Class 8 50
2 3 4 5 6
0
1
-1
-2
-3
-4
-5
-1-2-3-4-5-6
1
X-axis
Y-axis
2
3
4
5
6
(-4,-3)
.(-4,5)
. (5,-4)
.(1,1)
x-coordinate
Coordinates
of the point
y-coordinate
Origin
What is its location?
What is its location?
What is its location?
.
(0,0)

50. Class 8 51
I QuadrantII Quadrant
III Quadrant IV Quadrant
.
.
.
(1,1)
(-4,5)
(-4,-3) (5,-4)
(+,+)(-,+)
(-,-) (+,-)

51. Class 8 52
Presented by: Monika