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Construct a Histogram and Then a Frequency Polygon for the Following Frequency Distribution. Class Interval 100-150 150-200 200-250 250-300 300-350 Frequency 10 15 17 12 10 - Mathematics

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Question

Construct a histogram and then a frequency polygon for the following frequency distribution.

Class Interval 100-150 150-200 200-250 250-300 300-350
Frequency 10 15 17 12 10
Sum
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Solution

Steps : 

1. On the x-axis, take 1 cm as 5 units and plot class interval.

2. On the y-axis , take 1 cm as 5 units and plot frequency .

3. Draw rectangles of histogram as per given data .

4. For each rectangle , mark the midpoint of its length at the top part . In this case , points are (125.10),(175,15),(225,17),(275,12),(325,10).

5. Mark two more midpoints of Zero frequency on x-axis  at the start and at th end .

6. Now connect the points using straight lines.

Class Interval  Frequency
100-150 10
150-200 15
200-250 17
250-300 12
300-350 10

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Finding the Mode from the Histogram
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Chapter 23: Graphical Representations - Exercise

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 23 Graphical Representations
Exercise | Q 2.03
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