Choose whether the given statement is true or false.

We can represent the following data by a pie diagram.

Items of expenditure
Expenditure

Family A
Family B
Food
4000
6400
Clothing
2500
480
Rent
1500
3200
Education
400
1000
Miscellaneous
1600
600
Total
10000
11680

Question

Choose whether the given statement is true or false.

We can represent the following data by a pie diagram.

Items of expenditure	Expenditure
	Family A	Family B
Food	4000	6400
Clothing	2500	480
Rent	1500	3200
Education	400	1000
Miscellaneous	1600	600
Total	10000	11680

Accepted Answer

Let us first change the expenditure for different items of both families into central angles.
Central angle of component =

\frac{Component Value}{Sum of all components}

× 360
Let us draw a table for both families and find degrees in the table.
Here, the sum of all components is 10000 for family A and 11680 for family B.

Items of expenditure	Family A	Family B
	Expenditure	Sector angle	Expenditure	Sector angle
Food	4000	$\frac{4000}{10000}$ × 360 = 144	6400	$\frac{6400}{11680}$ × 360 = 197.3
Clothing	2500	$\frac{2500}{10000}$ × 360 = 90	480	$\frac{480}{11680}$ × 360 = 14.8
Rent	1500	$\frac{1500}{10000}$ × 360 = 54	3200	$\frac{3200}{11680}$ × 360 = 98.6
Education	400	$\frac{1600}{10000}$ × 360 = 57.6	1000	$\frac{600}{11680}$ × 360 = 18.5
Miscellaneous	1600	$\frac{400}{10000}$ × 360 = 14.4	600	$\frac{1000}{11680}$ × 360 = 30.8

Now, let us understand the steps involved in making pie charts.
Step 1: Draw a circle of appropriate radius.
Step 2: Draw a vertical radius of the circle.
Step 3: Choose the largest central angle. Here, the largest central angle for family A is 1440 . So, for family, A draw a sector with central angle 1440 in such a way that one of its radii coincide with the radius drawn in step 2 and another radius is in its counter-clockwise direction. Similarly, family B starts with 197.30 .
Step 4: Construct other sectors representing other items in the clockwise sense in descending order of magnitude of their central angles.
Step 5: Shade the sectors with different patterns and label them.
Now, let us draw pie charts for both families using the above steps.
seo

Hence, the given statement is true.

Choose whether the given statement is true or false.

We can represent the following data by a pie diagram.

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