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Learning Objectives : 6.5 Understand the concept of cumulative frequency.

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Presentation on theme: "Learning Objectives : 6.5 Understand the concept of cumulative frequency."— Presentation transcript:

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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 + = ? = st card 10 2 nd card

8 = ? + 15 = st card 10 2 nd card 15 3 rd card

9 = st card2 nd card3 rd card 4 th card + 12 = 58 ?

10 + + + = ? = 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 Example

12 Example 2 : Marks Frequency Marks Upper Boundary Frequency Cumulative Frequency Ungrouped Data

13 Example 2 : Marks Frequency Marks Upper Boundary Frequency Cumulative Frequency Ungrouped Data

14 Marks Frequency Marks Upper Boundary Frequency Cumulative Frequency 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) Frequency Worksheet 1

17 Instructions: Construct the cumulative frequency base on the table below. Volume of petrol (litre) Frequency Worksheet 2 Worksheet 2

18 Home

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

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

21 Height (cm) Frequency Upper Boundary 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 Marks Frequency Upper Boundary ANSWER

23 Table 2 : Data of the marks of the students of the Form 4 Cerdik Marks Frequency Upper Boundary

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) Frequency 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 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 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 Weight of the cakes (kg) x Cumulative Frequency yOgive

31 Weight of cakes (kg) Upper boundary FrequencyCumulative frequency 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

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37 Bar-Chart

38 Histogram

39 Frequency Poligon

40 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

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 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 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

55 home

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