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Learning Objectives : 6.5 Understand the concept of cumulative frequency

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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

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Worksheets Worksheet 1 Worksheet 2 Worksheet 3 Lesson Plan 1 Lesson Plan 2 Lesson Plan 3 Lesson Plan

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

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

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+ = ? = st card 10 2 nd card

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

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

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+ + + = ? = st card 10 2 nd card 15 3 rd card 12 4 th card 17 5 th card

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Ungrouped Data Score01234 Frequency25373 Score Upper boundary Frequency Cumulative Frequency Example

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

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

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Marks Frequency Marks Upper Boundary Frequency Cumulative Frequency Example 3 : Grouped Data

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Exercises Worksheet 1 Worksheet 1 Fill in the tables

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

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

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Home

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

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

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

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

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

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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

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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

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Weight of cakes (kg) Upper boundary Frequency Cumulative frequency COMPLETE A TABLE BELOW ADD A CLASS FOR ZERO FREQUENCY BEFORE THE FIRST CLASS

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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

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Weight of cakes (kg) Upper boundary Frequency Cumulative frequency THE CUMULATIVE FREQUENCY TABLE (Ungrouped data)

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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

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Weight of the cakes (kg) x Cumulative Frequency yOgive

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Weight of cakes (kg) Upper boundary FrequencyCumulative frequency THE CUMULATIVE FREQUENCY TABLE

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

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Home

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Learning Objectives : 6.5 Understand the concept of cumulative frequency

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

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Bar-Chart

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Histogram

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Frequency Poligon

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Weight of the cakes (kg) x Cumulative Frequency yOgive

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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

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Step 1 Complete the cumulative frequency table

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

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Step 3 - plot the points

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Step 4 - join the points smoothly

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Weight of the cakes (kg) x Cumulative Frequency yOgive

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

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Table 1 - worksheet 3

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Table 2 - worksheet 3

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Table 3 - worksheet 3

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Weight of the cakes (kg) x Cumulative Frequency yOgive

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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

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NEXT LESSON Quartile Quartile Median Median

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OGIVE First Quartile Median Third Quartile

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home

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