GRAPHICAL PRESENTATION OF DATA USING PICTOGRAM, PIE CHARTS AND BAR CHARTS
SUBJECT: MATHEMATICS
CLASS: JSS 1
DATE:
TERM: 3rd TERM
REFERENCE TEXTBOOKS
WEEK 10
TOPIC: GRAPHICAL PRESENTATION OF DATA USING PICTOGRAM, PIE CHARTS AND BAR CHARTS
CONTENT: i) The Pictogram
iii) The pie charts
INTRODUCTION
A frequency table is a numerical presentation of data in an organized summary from.
Diagrams, symbols and pictures sometimes catch the eye more quickly than the number.
They also tell stories more easily than numbers. It is also observed that it is easier to understand frequency table than the raw data, another method of presenting data, which most graphical find easier than table, is observe method. Graphs help us to observe any patterns easily. Examples of these graphs are pictogram, bar chart, line graph and pie chart.
THE PICTOGRAM
This uses pictures to represent statistics information or data. The pictogram is also called an ideograph. A pictogram uses pictures or drawings to give a quick and easy meaning to statistical data. A pictogram is a simple way of representing data in which a number of indentical drawings or pictures and used to show the data. It is useful to use pictures which can easily be divided into halves, quarters and do on. A pictogram must have a key to show that each picture stands for. Also you need to give the diagram a title
Example: The following table shows the favorite sports of 75 students
Represent the data in the form of a pictogram.
Favourite sports Frequency
Football 25
Wrestling 10
Boxing 5
Table Tennis 15
Swimming 20
Evaluation Question
The following table shows the number of students in JSS 1 in different houses at a certain school.
Represent the data in the form of a pictogram
House | Blue | Yellow | Green | Purple |
Students | 16 | 14 | 11 | 21 |
Reading Assignment
THE BAR CHARTS
Bar chart is very like a pictogram. The bars have the same width and usually have equal spaces between them. Instead of using pictures as in case of the pictogram, we must use a bar to represent the frequency of each of the item. In drawing a bar chart, we must take the following features into consideration.
Example
The following figures show the number of children per family in a sample of 40 households
1, 2, 4, 3, 4, 3, 8, 3, 2, 2, 3, 2, 5, 6,
5, 4, 2, 1, 3, 2, 4, 5, 3, 8, 7, 6, 5,
4, 5, 7, 6, 3, 8, 6, 3, 5, 7, 5, 4, 3
Solution
No of children per family | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
frequency | 2 | 5 | 9 | 7 | 7 | 4 | 3 | 3 |
(b)
Evaluation Question
The table below shows different colours of cars found in a company’s car park. Draw a bar chart for this data.
Colour of cars | White | Blue | Red | Grey | black |
Frequency | 20 | 17 | 10 | 8 | 15 |
Reading Assignment
Essential Mathematics for JSS 1 by AJS Oluwasanmi page 262
THE PIE CHART
A pie chart is a circle, which is divided into slices (i.e sectors) whose angles are used to display data.
The size of an angle of each sector gives the frequency of each value. The major advantage of a pie chart is that it enables us to see clearly how the size of parts are compared in relation to one another and to the overall total. It is important to label each sector according to the given items and also give pie chart a little.
Example: A student was given N600.00 in June as a pocket money. He spent the money as follows:
Food = N200.00
Transport = N100.00
Books = N120.00
Rent = N150.00
Miscellaneous = N30.00
Draw a pie chart to illustrate the data.
Solution
There are 360o in a full circle and the total amount spent was N600.00 this means N600.00 is represented by 360o; N1 is represented by 360°600 = 0.6
= 200 x 0.6
= 120o
Items | Amount Spent in Naira (N) | Angle |
Food | 200 | 200 x 0.6 = 120o |
Transport | 100 | 100 x 0.6 = 60o |
Books | 120 | 120 x 0.6 = 72o |
Rent | 150 | 150 x 0.6 = 90o |
Miscellaneous | 30 | 30 x 0.6 = 18o |
TOTAL | 600 | 360o |
120o + 60o + 72o + 90o + 18o = 360o
GENERAL EVALUATION QUESTION
400 students were asked whether they liked yam, cornflakes, bread, rice or some other type of food for breakfast, the following data was recorded.
Type of Food | Yam | Cornflakes | Bread | Rice | Other | Total |
Frequency | 65 | 110 | 80 | 120 | 25 | 400 |
Draw a bar and a pie chart to represent this information
READING ASSIGNMENT
Essential Mathematics Bk. 1 pages 261 – 273. Exercise 25.4 No 1-5
WEEKEND ASSIGNMENT
The pie chart below shows the course which a group of students are doing. Use the pie chart to answer questions 2 to 5
THEORY
Indian hemp 35%
Morphine 20%
Heroine 15%
Cocaine 30%
Find the number of youths in each category
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