Lesson Notes By Weeks and Term - Senior Secondary School 2

PRESENTATION OF DATA

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SUBJECT: MATHEMATICS

CLASS:  SS 2

DATE:

TERM: 3rd TERM

REFERENCE BOOKS

  • New General Mathematics SSS2 by M.F. Macrae etal.
  • Essential Mathematics SSS2 by A.J.S. Oluwasanmi.
  • Exam Focus Mathematics.

 

 
WEEK FIVE

TOPIC: PRESENTATION OF DATA

  • Cumulative Frequency Table.
  • Cumulative Frequency Curve.

 

Cumulative Frequency Curve

The cumulative frequency curve is also called the OGIVE. It is the graph of the cumulative frequency against the upper class boundary.

 

Example

The table below shows the height of 200 people who were randomly picked.

Heights(cm)

145  -     149

150    -    154

155     -   159

160       -    164

165    -    169

170  -   174 

175   -  179

Frequency

          5

          18

          50  

            29

        80

            14

          4

Construct for the distribution above, a cumulative frequency curve.

 

Solution:

Heights

Frequency

Cumulative Frequency

Upper Class Boundary

145 – 149

5

5

< 149.5

150 – 154

18

23

< 154.5

155 – 159

50

73

< 159.5

160 – 164

29

102

< 164.5

165 – 169

80

182

< 169.5

170 – 174

14

196

< 174.5

175 – 179

4

200

< 179.5

 

EVALUATION

The table shows the masses of a various quantities of maize sold by a farmer during the year 1985.

Mass (kg)

40    -    43

44    -    47

48      -   51

52    -    55

56    -     59

60    -    63

64   -67

68   - 71

Frequency

          7

      18

        32

      48

      41

    28

    17

      19

  1. Draw a cumulative frequency table. (b) Using a scale of 2cm to 4 kg on the x – axis and 2cm to 20units on the y – axis, draw the cumulative frequency curve.

 

GENERAL EVALUATION

Given the frequency distribution below. Draw a histogram and a cumulative frequency curve.

Height (cm)

160     -  164

165  -    169

170   - 174

175  - 179

180   -  184

185   -  189

190   - 194

Frequency

          10

          25

      40

        56

        44

        20

        5

 

READING ASSIGNMENT

New General Mathematics SSS2, page164, exercise 14b.

 

WEEKEND ASSIGNMENT

The following table shows the distribution of the masses of 120 logs of wood, correct to the nearest kg.

Masses (kg)

15      -     24

25       -      34

  35       -      44

45      -    54

55    -    64

Frequency

          14

            54

          24

            26

          2

  1. Draw a histogram for the distribution.
  2. Make a cumulative frequency table for the distribution.
  3. Draw a cumulative frequency curve for the distribution.
  4. Use the graph to find the a. semi-interquartile range.b. 60th percentile.





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