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The following table gives the number of vehicles passing through a toll gate, every hour from 8.00 am. to 1.00 pm: Time Interval 8.00 to 9.00 9.00 to 10.00 10.00 to 11.00 11.00 to 12.00 12.00 to 1.00 - Mathematics

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Question

The following table gives the number of vehicles passing through a toll gate, every hour from 8.00 am. to 1.00 pm:

Time
Interval
8.00
to
9.00
9.00
to
10.00
10.00
to
11.00
11.00
to
12.00
12.00
to
1.00
Number
of vehicles
250 450 300 250 150

Draw a bar graph representing the above data.

Chart
Graph

Solution

In order to construct a bar graph representing the above data, we follow the following steps:

Step I: Take a graph paper and draw two mutually perpendicular lines OX and Oy. Let OX as the horizontal axis and OY as the vertical axis.

Step II: Along OX, mark time interval and along OY, mark number of vehicles.

Step III: Along OX, choose the uniform (equal) width of the bars and the uniform gap between them, according to the space available for the graph.

Step IV: Choose a suitable scale to determine the heights of the bars, according to the availability of space.

Here, we choose 1 unit length represents 50 vehicles.

Time interval Height of bars
8.00 to 9.00 `250/50` = 5 units
9.00 to 10.00 `450/50` = 9 units
10.00 to 11.00 `300/50` = 6 units
11.00 to 12.00 `250/50` = 5 units
12.00 to 1.00 `150/50` = 3 units

Hence, the required bar graph for the given data is shown below

Scale: 1 unit length = 50 vehicles

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Chapter 5: Data Handling - Exercise [Page 85]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 6
Chapter 5 Data Handling
Exercise | Q 45 | Page 85

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