2. Learning Objectives : 6.5 Understand the concept of cumulative frequency

3. Learning Outcomes: Students will be able for i)Construct the cumulative frequency table for: a) ungrouped data b) grouped data ii)Draw the ogive for: a) ungrouped data b) grouped data Click here

4. Worksheets Worksheet 1 Worksheet 2 Worksheet 3 Lesson Plan 1 Lesson Plan 2 Lesson Plan 3 Lesson Plan

5. 6.5 (i) How to construct the cumulative frequency table? Ungrouped data Group data. Home

6. 21 1 st card 10 2 nd card 15 3 rd card 12 4 th card 17 5 th card

7. + = ? 10 + 21 = 31 21 1 st card 10 2 nd card

8. + 31 + = ? + 15 = 46 21 1 st card 10 2 nd card 15 3 rd card

9. 21101512 + + = 46 + 1 st card2 nd card3 rd card 4 th card + 12 = 58 ?

10. + + + = ? 78 + 17 = 95 21 1 st card 10 2 nd card 15 3 rd card 12 4 th card 17 5 th card

11. Ungrouped Data Score01234 Frequency25373 Score Upper boundary Frequency Cumulative Frequency 00.52 11.55 22.53 33.57 44.53 Example 1 2 7 10 17 20

12. Example 2 : Marks2025303540 Frequency71622132 Marks Upper Boundary Frequency Cumulative Frequency 20 25 30 35 40 Ungrouped Data

13. Example 2 : Marks2025303540 Frequency71622132 Marks Upper Boundary Frequency Cumulative Frequency 1515.50 2020.57 2525.516 3030.522 3535.513 4040.52 Ungrouped Data 0 7 23 45 58 60

14. Marks 51- 6061-7071- 8081- 9091-100 Frequency781393 Marks Upper Boundary Frequency Cumulative Frequency 41-5050.50 51-6060.57 61-7070.58 71-8080.513 81-9090.59 91-100100.53 Example 3 : Grouped Data

15. Exercises Worksheet 1 Worksheet 1 Fill in the tables

16. Instructions: Constructs the cumulative frequency table base on the table below. Age (year) 1617181920 Frequency2723251619 Worksheet 1

17. Instructions: Construct the cumulative frequency base on the table below. Volume of petrol (litre) 10-1415-1920-2425-2930-34 Frequency710634 Worksheet 2 Worksheet 2

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19. 6.5 (ii) Draw the ogive for (a) Ungrouped data Home

20. Height (cm)163164165166167168 Frequency Upper Boundary 165167164165164 168165163164165 ANSWER Table 1: Data of the heights of the basketball players

21. Height (cm)163164165166167168 Frequency134011 Upper Boundary 163.5164.5165.5166.5167.5168.5 165167164165164 168165163164165 Table 1: Data of the heights of the basketball players

22. Table 2 : Data of the marks of the students of the Form 4 Cerdik 60758261909198687578 565398686561 706975 568083809975 78 56 Marks51-6061-7071-8081-9091-100 Frequency Upper Boundary ANSWER

23. Table 2 : Data of the marks of the students of the Form 4 Cerdik 60758261909198687578 565398686561 706975 568083809975 78 56 Marks51-6061-7071-8081-9091-100 Frequency 57 10 34 Upper Boundary 60.5 70.5 80.5 90.5 100.5

24. The above table shows the frequency of weight of the cakes sold in a shop on a particular day. Using the data given, construct a table of cumulative frequency. Then, draw the ogive with a scale of 2 cm to 1 kg at x-axis and 2 cm to 5 unit at y-axis. Weight of cake (kg) 12345 Frequency461041 EXAMPLE

25. WHAT IS AN OGIVE? An ogive is a chart of cumulative frequency Conditions of drawing the ogive Using the cumulative frequency Add a class before the first interval class Write as zero in the cumulative frequency

26. Weight of cakes (kg) Upper boundary Frequency Cumulative frequency 0 14 26 310 44 51 0.5 1.5 2.5 3.5 4.5 5.5 00 4 10 20 24 25 COMPLETE A TABLE BELOW ADD A CLASS FOR ZERO FREQUENCY BEFORE THE FIRST CLASS

27. HOW TO DRAW AN OGIVE 1.CONSTRUCT THE CUMULATIVE FREQUENCY TABLE 2.DRAW AN X-AXIS FOR THE UPPER BOUNDARIES AND A Y-AXIS FOR THE CUMULATIVE FREQUENCY BASED ON THE GIVEN SCALE 3.PLOT THE POINTS 4.JOIN ALL THE POINTS WITH A SMOOTH CURVE 5.LABEL THE GRAPH

28. Weight of cakes (kg) Upper boundary Frequency Cumulative frequency 0 14 26 310 44 51 0.5 1.5 2.5 3.5 4.5 5.5 00 4 10 20 24 25 THE CUMULATIVE FREQUENCY TABLE (Ungrouped data)

29. 5. JOIN ALL THE POINTS SMOOTHLY 4. LABEL THE GRAPH 1. PLOT THE POINTS 3. CONSTRUCT THE CUMULATIVE FREQUENCY TABLE 2. DRAW THE X AND Y AXES 2. DRAW THE X AND Y AXES HOW TO DRAW AN OGIVE

30. 1.52.5 3.5 4.5 5.5 5 10 15 20 25 0.5 Weight of the cakes (kg) x Cumulative Frequency yOgive

31. Weight of cakes (kg) Upper boundary FrequencyCumulative frequency 0 1 2 3 4 5 0.5 1.5 2.5 3.5 4.5 5.5 0 4 6 10 4 1 0 4 20 24 25 THE CUMULATIVE FREQUENCY TABLE

32. Exercises Worksheet 2 Worksheet 2 Fill in the tables Draw the ogives respectively

33. Home

34. Learning Objectives : 6.5 Understand the concept of cumulative frequency

35. 6.1 (ii) Draw the ogive for (b) Grouped data Home

37. Bar-Chart

38. Histogram

39. Frequency Poligon

40. 1.52.5 3.5 4.5 5.5 5 10 15 20 25 0.5 Weight of the cakes (kg) x Cumulative Frequency yOgive

41. 5. JOIN ALL THE POINTS SMOOTHLY 4. LABEL THE GRAPH 3. PLOT THE POINTS 1. CONSTRUCT THE CUMULATIVE FREQUENCY TABLE 2. DRAW THE X AND Y AXES 2. DRAW THE X AND Y AXES HOW TO DRAW AN OGIVE

42. Step 1 Complete the cumulative frequency table 1.45 1.75 2.05 2.35 2.65 2.95 1.150 6 15 31 36 39 40

43. Step 2 Draw the scales respectively x-axis : upper boundaries y-axis : Cumulative frequency

44. Step 3 - plot the points

45. Step 4 - join the points smoothly

46. 1.52.5 3.5 4.5 5.5 5 10 15 20 25 0.5 Weight of the cakes (kg) x Cumulative Frequency yOgive

47. Exercises Worksheet 3 Worksheet 3 Fill in the tables Draw the ogives respectively

48. Table 1 - worksheet 3

49. Table 2 - worksheet 3

50. Table 3 - worksheet 3

51. 1.52.5 3.5 4.5 5.5 5 10 15 20 25 0.5 Weight of the cakes (kg) x Cumulative Frequency yOgive

52. 5. JOIN ALL THE POINTS SMOOTHLY 4. LABEL THE GRAPH 1. PLOT THE POINTS 1. PLOT THE POINTS 3. CONSTRUCT THE CUMULATIVE FREQUENCY TABLE 2. DRAW THE X AND Y AXES 2. DRAW THE X AND Y AXES HOW TO DRAW AN OGIVE

53. NEXT LESSON Quartile Quartile Median Median

54. OGIVE First Quartile Median Third Quartile

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