Name: Representation of Data by Creating Histogram
Uploaded: 2019-07-19
Duration: 6 min 41 s
Description: The histogram is the most powerful tool to present the data on the number line. Let's watch this video to learn how to represent the data and analyse them.

Question

Represent the following data by pie chart:

Item of Expenditure	Expenditure $(in ₹)$
Item of Expenditure	Family A	Family B
Food	$4000$	$6400$
Clothing	$2500$	$4800$
Rent	$1500$	$3200$
Education	$400$	$1000$
Miscellaneous	$1600$	$600$
Total	$10000$	$16000$

Accepted Answer

Given,

The following data of expenditure pattern in a family:

Item of Expenditure Expenditure $(in ₹)$

Family A Family B

Food $6400$ $6400$

Clothing $4800$ $4800$

Rent $3200$ $3200$

Education $1000$ $1000$

Miscellaneous $600$ $600$

Total $16000$ $16000$

The following procedure to use to construction of a pie chart:

Draw a circle of a suitable radius.

Find the aggregate of all the components.

Use the following formula to get the angles corresponding to the different components: $Angle = \frac{Value of each component}{Aggregate of all components} \times 360 °$

Draw the angles calculated in step $3$ at the centre of the circle.

Computation of central angles.:

Items Expenditure Family A Measure of central angles

Food $4000$ $\frac{4000}{10000} \times 360 ° = 144 °$

Clothing $2500$ $\frac{2500}{10000} \times 360 ° = 90 °$

Rent $1500$ $\frac{1500}{10000} \times 360 ° = 54 °$

Education $16000$ $\frac{400}{10000} \times 360 ° = 14.4 °$

Miscellaneous $1600$ $\frac{1600}{10000} \times 360 ° = 57.6 °$

Total $10000$ $360 °$

Items Expenditure Family B Measure of central angles

Food $6400$ $\frac{6400}{16000} \times 360 ° = 144 °$

Clothing $4800$ $\frac{4800}{16000} \times 360 ° = 108 °$

Rent $3200$ $\frac{3200}{16000} \times 360 ° = 72 °$

Education $1000$ $\frac{1000}{16000} \times 360 ° = 22.5 °$

Miscellaneous $600$ $\frac{600}{16000} \times 360 ° = 13.5 °$

Total $16000$ $360 °$

Hence, the required answer is shown above.

Item	Food	Entertainment	Other expenditures	Savings
Expenditure	$40 %$	$25 %$	$20 %$	$15 %$

Subject	English	Maths	Physics	Chemistry	Economics	Commerce
Number of students	$45$	$60$	$20$	$30$	$10$	$15$

Continents	Asia	Antarctica	Africa	Europe	South America	North America	Australia
Area in million sq. km	$43.8$	$13.7$	$30.3$	$10.1$	$17.8$	$24.4$	$9.0$

Represent the following data by pie chart:

Item of Expenditure Expenditure $(in ₹)$

Family A Family B

Food $4000$ $6400$

Clothing $2500$ $4800$

Rent $1500$ $3200$

Education $400$ $1000$

Miscellaneous $1600$ $600$

Total $10000$ $16000$

Important Questions on Data Handling

Learn and Prepare for any exam you want !

Represent the following data by pie chart: Item of Expenditure Expenditure (in ₹) Family A Family B Food 4000 6400 Clothing 2500 4800 Rent 1500 3200 Education 400 1000 Miscellaneous 1600 600 Total 10000 16000

Important Questions on Data Handling

Learn and Prepare for any exam you want !

Represent the following data by pie chart:

Item of Expenditure Expenditure $(in ₹)$

Family A Family B

Food $4000$ $6400$

Clothing $2500$ $4800$

Rent $1500$ $3200$

Education $400$ $1000$

Miscellaneous $1600$ $600$

Total $10000$ $16000$