Question

Step 1 of 2:

The total of all the frequencies in a frequency table is 487 If a section in a pie chart corresponds to an item with a frequency of 228, what is the size of the angle of the corresponding circular wedge? Round your answer to the nearest degree.

Use your knowledge of pie charts to answer the following questions.

Step 2 of 2:

Could a pie chart be constructed from the following set of data?

Item	Percent of Income spent on Item
Rent	8
Food	7
Car	26

Entertainment 49

Yes or No?

Answer 1

Answer:-

Steps 1:-

total frequency =487

Frequency corresponding to item =228

Therefore, the size of angle of the corresponding circular width for item = (228 /487) × 360 ° = 168.54°

Steps 2:-

Yes ,pie chart should be constructed for following set of data.

Items	Percent of income spent on items	corresponding angle in pie chart
Rent	8	(8/90)× 360° =32°
Food	7	(7/90)×360°=28°
car	26	(26/90)×360°=104°
Entertainment	49	(49/90)×360°= 196°
	Total = 90