Question
Explain by giving example that how can we choose a suitable scale.

Answer


While choosing the most suitable scale for drawing a graph, we should keep the following points in mind.
  1. The difference between the highest and lowest values of each quantity.
  2. The intermediate values of each quantity so that with the scale chosen, it is easy to mark the values on the graph.
  3. To utilise the maximum part of the paper on which the graph is to be drawn, assume that we have a graph paper of size $25cm$ x $25cm$ and we have to accommodate following data:
Time (AM)
Odometer reading
Distance from the starting point
$8:00 AM$
$36540\ km$
$0\ km$
$8:30 AM$
$36560\ km$
$20\ km$
$9:00 AM$
$36580\ km$
$40\ km$
$9:30 AM$
$36600\ km$
$60\ km$
$10:00 AM$
$36620\ km$
$80\ km$

Since, one of the scales will be,

Distance $5km = 1cm$ and Time $6$ min $= 1cm.$

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