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Graphical Representations — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsGraphical Representations5 Marks
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
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Answer

Steps :
1. On the $x$-axis, take $1 \mathrm{~cm}$ as 5 units and plot class interval.
2. On the $y$-axis, take $1 \mathrm{~cm}$ 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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