Question

Draw a pie chart for the given table.

Continent	Asia	Africa	North America	South America	Europe	Australia	Antarctica
Area	$30 %$	$20 %$	$16 %$	$12 %$	$7 %$	$6 %$	$9 %$

Accepted Answer

Converting the area in percentage into components parts of $360 °$ . We have,

The central angle of a component $= \frac{percentage value of the component}{100} \times 360 °$

Continent Area (in $%$ ) Central angle

Asia $30 %$ $\frac{30}{100} \times 360 ° = 108 °$

Africa $20 %$ $\frac{20}{100} \times 360 ° = 72 °$

North America $16 %$ $\frac{16}{100} \times 360 ° = 57.6 °$

South America $12 %$ $\frac{12}{100} \times 360 ° = 43.2 °$

Europe $7 %$ $\frac{7}{100} \times 360 ° = 25.2 °$

Australia $6 %$ $\frac{6}{100} \times 360 ° = 21.6 °$

Antarctica $9 %$ $\frac{9}{100} \times 360 ° = 32.4 °$

Total $100 %$ $360 °$

Steps for construction of the pie chart:
1) Calculate the central angle for each component using the above formula and tabulate it.
2) Draw a circle of convenient radius and mark one horizontal radius in it.
3) Draw radius making central angle of first component with horizontal radius. This sector represents the first component. From this radius, draw the next radius with the central angle of the second component and so on, until the completion of all components.
4) For identification of each sector, shade with different colours.
5) Label each sector.

The pie chart for given data:

Mode of transport	Bus	Cycle	Walking	Scooter	Car
Percentage of students	$40 %$	$30 %$	$15 %$	$10 %$	$5 %$

Age	$41 - 45$	$46 - 50$	$51 - 55$	$56 - 60$	$61 - 65$	$66 - 70$	$71 - 75$
Frequency	$4$	$9$	$17$	$25$	$15$	$8$	$2$

Weight (in $kg$ )	$50 - 55$	$56 - 61$	$62 - 67$	$68 - 73$	$74 - 79$	$80 - 85$	$86 - 91$
Number of persons.	$15$	$8$	$12$	$17$	$9$	$10$	$6$

Age (in years)	No. of persons
Under $5$	$1$
Under $10$	$12$
Under $15$	$19$
Under $20$	$26$
Under $25$	$27$
Under $30$	$35$
Under $35$	$38$
Under $40$	$45$
Under $45$	$48$
Under $50$	$53$

Particulars	Paise
Farmer	$20$
Spinner	$35$
Dyer	$15$
Weaver	$15$
Printer	$05$
Salary	$10$

Tamil Nadu Board Solutions for Chapter: Statistics, Exercise 5: Exercise 6.3

Tamil Nadu Board Mathematics Solutions for Exercise - Tamil Nadu Board Solutions for Chapter: Statistics, Exercise 5: Exercise 6.3

Questions from Tamil Nadu Board Solutions for Chapter: Statistics, Exercise 5: Exercise 6.3 with Hints & Solutions

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Mid Value $(x)$	$15$	$25$	$35$	$45$	$55$	$65$	$75$
Frequency $(f)$	$12$	$24$	$30$	$18$	$26$	$10$	$8$