Learning Objectives : 6.5 Understand the concept of cumulative frequency.

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Presentation transcript:

Learning Objectives : 6.5 Understand the concept of cumulative frequency

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

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

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

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

+ = ? = st card 10 2 nd card

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

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

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

Ungrouped Data Score01234 Frequency25373 Score Upper boundary Frequency Cumulative Frequency Example

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

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

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

Exercises Worksheet 1 Worksheet 1 Fill in the tables

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

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

Home

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

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

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

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

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

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

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

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

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

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

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

Weight of the cakes (kg) x Cumulative Frequency yOgive

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

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

Home

Learning Objectives : 6.5 Understand the concept of cumulative frequency

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

Bar-Chart

Histogram

Frequency Poligon

Weight of the cakes (kg) x Cumulative Frequency yOgive

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

Step 1 Complete the cumulative frequency table

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

Step 3 - plot the points

Step 4 - join the points smoothly

Weight of the cakes (kg) x Cumulative Frequency yOgive

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

Table 1 - worksheet 3

Table 2 - worksheet 3

Table 3 - worksheet 3

Weight of the cakes (kg) x Cumulative Frequency yOgive

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

NEXT LESSON Quartile Quartile Median Median

OGIVE First Quartile Median Third Quartile

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