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Graphical Representations — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsGraphical Representations5 Marks
Question
Construct a frequency polygon without using a histogram for the following frequency distribution :
Class Interval 10-20 20-40 40-60 60-80 80-100
Frequency 9 17 15 20 14
✓

Answer

Steps:
1. Find class mark by calculating the average of the class interval.
2. On the $x$-axis, take $1 \mathrm{~cm}$ as 5 units and plot class interval.
3. On the $y$-axis, take $1 \mathrm{~cm}$ as 5 units and plot frequency.
4. plot the points on the graph. $(15,9),(30,17),(50,15),(70,20),(90,14)$.
5. Mark two more midpoints of zero frequency on $x$-axis at the start and at the end .
6. Now connect the points using staright lines.
Class Interval Class mark Frequency
10-20 $
=\frac{10+20}{2}=15
$		 9
20-40 $
=\frac{20+40}{2}=30
$		 17
40-60 $
=\frac{40+60}{2}=50
$		 15
60-80 $
=\frac{60+80}{2}=70
$		 20
80-100 $
=\frac{80+100}{2}=90
$		 14

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