Construct a histogram and then a frequency polygon for the follow… - Vidyadip

Question

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

Class Interval	0-10	10-20	20-30	30-40	40-50	50-60
Frequency	8	13	27	35	14	3

✓

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 rectangle 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 $(5,8)$, $(15,13),(25,27),(35,35),(45,14),(55,3)$.
5. Mark two more midpoints of zero frequency on $x$-axis at the start and at the end.
6. Now connect the points using straight lines.

Class Interval	Frequency
0-10	8
10-20	13
20-30	27
30-40	35
40-50	14
50-60	3

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