Page 135 - Maths Class 06

SOLUTION : Step 1 : Draw ing the axis
We take a graph paper. We mark a point O towards the left hand lower corner and draw
two rays OX and OY perpendicular to each other. OX is called the horizontal ray and OY is
called the vertical ray
Step 2 : La bel ling the axis
We shall represent numerical data i e. ., population along the vertical ray OY and the villages
along the horizontal ray OX.

Step 3 : Choos ing a scale
We choose the scale in such a way that the bar of highest value fits easily on the graph paper
and the bar of the lowest value can be seen easily.
Here, the highest value is 500, and the lowest value is 300. We, therefore, choose a scale in
which 1 cm length OY represents 100 people.

Step 4 : Cal cu lat ing the lengths of bars
æ 1 ö
÷
A = ç ´300 cm = 3 cm
è 100 ø
æ 1 ö
B = ç ´500 cm = 5 cm
÷
è 100 ø
æ 1 ö
C = ç ´ 400 cm = 4 cm
÷
è 100 ø
æ 1 ö
÷
D = ç ´350 cm = 3.5 cm
è 100 ø
æ 1 ö
E = ç ´500 cm = 5 cm
÷
è 100 ø
æ 1 ö
F = ç ´ 450 cm = 4.5 cm
÷
è 100 ø
Step 5 : Draw ing the bar graph Y
The bar graph to represent the given 600

data is as shown alongside:
500

400
Population 300

200

100

O
A B C D E F X
Villages

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