Data Handling - Maths Class 8th - Ex 5.2 - Q3 - Chapter 5 - NCERT - CBSE
Data Handling - Maths Class 8th - EXERCISE 5.2 - Question 3 - Circle Graph - Chapter 5 - NCERT - CBSE
Full Exercise on Data Handling, fully solved. This is a video tutorial for 8th class NCERT CBSE students. For other educational stuff, subscribe and press bell icon.
Circle Graph or Pie Chart
Have you ever come across data represented in circular form as shown. These are called circle graphs. A circle graph shows the relationship between a whole and its parts. Here, the whole circle is divided into sectors. The size of each sector is proportional to the activity or information it represents.
Similarly, the size of other sectors can be found. Add up the fractions for all the activities. Do you get the total as one? A circle graph is also called a pie chart.
Drawing pie charts
The favourite flavours of ice-creams for students of a school is given in percentages as follows.Let us represent this data in a pie chart. The total angle at the centre of a circle is 360°. The central angle of the sectors will be. a fraction of 360 degrees. We make a table to find the central angle of the sectors.
1. Draw a circle with any convenient radius. Mark its centre (O) and a radius (OA).
2. The angle of the sector for chocolate is 180 degrees. Use the protractor to draw angle AOB = 180 degrees.
3. Continue marking the remaining sectors.
Example 1: Adjoining pie chart (Fig 5.7) gives the expenditure (in percentage) on various items and savings of a family during a month. (i) On which item, the expenditure was maximum? (ii) Expenditure on which item is equal to the total savings of the family? (iii) If the monthly savings of the family is Rs 3000, what is the monthly expenditure on clothes?
Solution: (i) Expenditure is maximum on food. (ii) Expenditure on Education of children is the same (i.e., 15 percent) as the savings of the family.
Example 2: On a particular day, the sales (in rupees) of different items of a baker’s shop are given below. Solution: We find the central angle of each sector. Here the total sale = Rs 720. We thus have this table. Now, we make the pie chart.
THINK, DISCUSS AND WRITE Which form of graph would be appropriate to display the following data. 1. Production of food grains of a state.
EXERCISE 5.2
1. A survey was made to find the type of music that a certain group of young people liked in a city.Adjoining pie chart shows the findings of this survey. From this pie chart answer the following: (i) If 20 people liked classical music, how many young people were surveyed? (ii) Which type of music is liked by the maximum number of people? (iii) If a cassette company were to make 1000 CD’s, how many of each type would they make?
2. A group of 360 people were asked to vote for their favourite season from the three seasons rainy, winter and summer. (i) Which season got the most votes? (ii) Find the central angle of each sector. (iii) Draw a pie chart to show this information.
3. Draw a pie chart showing the following information. The table shows the colours preferred by a group of people. Blue 18, Green 9, Red 6, Yellow 3
4. The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions. (i) In which subject did the student score 105 marks? (Hint: for 540 marks, the central angle = 360°. So, for 105 marks, what is the central angle?) (ii) How many more marks were obtained by the student in Mathematics than in Hindi? (iii) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi. (Hint: Just study the central angles).
5. The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart. Language Hindi English Marathi Tamil Bengali Total Number 40 12 9 7 4 7 of students
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