|
Q. 4. Draw a Pie Chart of the monthly expenses
of a hostler, whose expenses per month are as follows:
(Dec. 2001)
|
Item
|
Amount in (Rs.)
|
|
Food
|
2000
|
|
Room Rent
|
1000
|
|
Transport
|
500
|
|
Books/Stationery
|
500
|
|
Maintenance
|
1000
|
Solution. Since the total expenditure is
Rs. 5000 (2000 + 1000 + 500 + 500 + 1000) and there
are 360 degrees in a circle, we have to convert the
percentage in degrees.
Conversion to % (Relative Frequency)
|
Item
|
Amount in (Rs.)
|
Relative Frequency (R.F.)
|
|
Food
|
2000
|
2000/5000 = 0.4
|
|
Room Rent
|
1000
|
1000/5000 = 0.2
|
|
Transport
|
500
|
500/5000 = 0.1
|
|
Books/Stationery
|
500
|
500/5000 = 0.1
|
|
Maintenance
|
1000
|
1000/5000 = 0.2
|
Conversion to degrees
|
Item
|
R.F.
|
Degrees
|
|
Food
|
0.4
|
0.4 X 360 = 144
|
|
Room Rent
|
0.2
|
0.2 X 360 = 72
|
|
Transport
|
0.1
|
0.1 X 360 = 36
|
|
Books/Stationery
|
0.1
|
0.1 X 360 = 36
|
|
Maintenance
|
0.2
|
0.2 X 360 = 72
|
The Pie Chart is depicted in the following figure:
Q. 5. The following table shows monthly living
expenses for an MCA student of IGNOU: (Dec.
2002)
|
Item
|
Amount in (Rs.)
|
|
Food
|
100
|
|
Apartment
|
900
|
|
Transport
|
200
|
|
Entertainment
|
300
|
|
Maintenance
|
400
|
| Miscellaneous |
400
|
| Total |
2300
|
Draw a Pie Chart of the monthly expenses.
Solution. Since the total expenditure is
Rs. 2300 (100 + 900 + 200 + 300 + 400 + 400) and there
are 360 degrees in a circle, we have to convert the
percentage in degrees.
Conversion to % (Relative Frequency)
|
Item
|
Amount in (Rs.)
|
Relative Frequency (R.F.)
|
|
Food
|
100
|
100/2300 = 0.043
|
|
Apartment
|
900
|
900/2300 = 0.391
|
|
Transport
|
200
|
200/2300 = 0.086
|
|
Entertainment
|
300
|
300/2300 = 0.130
|
|
Maintenance
|
400
|
400/2300 = 0.173
|
| Miscellaneous |
400
|
400/2300 = 0.173
|
Conversion to degrees
|
Item
|
R.F.
|
Degrees
|
|
Food
|
0.043
|
0.043 X 360 = 15
|
|
Apartment
|
0.391
|
0.391 X 360 = 141
|
|
Transport
|
0.086
|
0.086 X 360 = 31
|
|
Entertainment
|
0.130
|
0.130 X 360 = 47
|
|
Maintenance
|
0.173
|
0.173 X 360 = 63
|
| Miscellaneous |
0.173
|
0.173 X 360 = 63
|
The Pie Chart is depicted in the following figure:
|
