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Figure — Percentage break-up of cost of construction of a house (pie chart) and the ‘less than’/‘more than’ ogives
FigurePercentage break-up of cost of construction of a house (pie chart) and the ‘less than’/‘more than’ ogives
Q.

Draw a pie-chart to represent the following data about percentage break-up of the cost of construction of a house :

ItemsExpenditure
Labour25
Bricks15
Cement20
Steel15
Timber10
Supervisor15

OR

Draw “less than” and “more than” Ogive from the following frequency distribution.

Marks0-2020-4040-6060-8080-100
No. of students6533146
Manipur CohsemCOHSEM Manipur Higher Secondary 1st Year (Commerce) 2024Subjective· 8mImportance★★★★★est
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Each item's share of the Rs. 100 (=100%) total is converted into degrees of a circle (°= value × 3.6°) and drawn as a sector — the six sectors together make up the full 360° pie. [OR: cumulative 'less than' and 'more than' frequencies are plotted to draw the two ogive curves, which cross at the median.]

Part A — Pie-chart of cost of construction (Total = 100):

Since the six items already add up to 100, each item's degree = value × 3.6° (because 360°/100 = 3.6° per unit):

ItemsExpenditureDegrees (value × 3.6°)
Labour2590°
Bricks1554°
Cement2072°
Steel1554°
Timber1036°
Supervisor1554°
Total100360°

How to draw: Draw a circle of any convenient radius. Starting from the 12 o'clock radius, mark off successive sectors of 90° (Labour), 54° (Bricks), 72° (Cement), 54° (Steel), 36° (Timber) and 54° (Supervisor), going around in order until the full 360° circle is completed; label/shade each sector and attach a key.

OR — Part B: 'Less than' and 'more than' Ogives:

MarksNo. of students (f)'Less than' cumulative frequency'More than' cumulative frequency
0–206Less than 20: 6More than 0: 64
20–405Less than 40: 11More than 20: 58
40–6033Less than 60: 44More than 40: 53
60–8014Less than 80: 58More than 60: 20
80–1006Less than 100: 64More than 80: 6
…

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