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Q.

Choose whether the given statement is true or false.


It is possible to draw a pie chart for the following data,


Item of expenditure

Food

Health

Clothing

Education

Savings

Amount spent (in rupees)

3750

1875

1875

1200

7500


see full answer

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a

True

b

False 

answer is A.

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Detailed Solution

Let us assume I be the income.
Let us find the total income by adding the amount spent on each item as
⇒ I = 3,750 + 1,875 + 1,875 + 1,200 + 7,500
⇒ I = 16,200
So, the total income is 16,200 rupees.
Now, let us calculate the angle for each item of expenditure by using the formula
angle = amount spent on that itemtotal income × 3600   (i) Let us calculate angle for food
⇒ angle of food = 3,75016,200 × 3600 ⇒ angle of food = 83.34 ≃ 830
(ii) Let us calculate angle for health
⇒ angle of health = 1,87516,200 × 3600       = 41.67 ≃ 420 (iii) Let us calculate angle for clothingt
⇒ angle of clothing = 1,87516,200 × 3600        = 41.67 ≃ 420 (iv) Let us calculate angle for education
⇒ angle of education = 1,20016,200 × 3600       = 26.67 ≃ 270 (v) Let us calculate angle for savings
⇒ angle of savings = 7,50016,200 × 3600       = 166.34 ≃ 1660 Now, by making these angles as parts in a circle we get a pie chart as
seoHence it is True that it is possible to draw a pie chart for the given data.
 
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