Draw a frequency polygon for the following frequency distribution:
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$
Frequency $6$ $4$ $10$ $12$ $5$

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) To draw a frequency polygon, follow these steps:
$1$. Calculate the class marks (mid-points) for each class interval using the formula: $\text{Class mark} = \frac{\text{Lower limit} + \text{Upper limit}}{2}$.
- For $0-10$: $\frac{0+10}{2} = 5$
- For $10-20$: $\frac{10+20}{2} = 15$
- For $20-30$: $\frac{20+30}{2} = 25$
- For $30-40$: $\frac{30+40}{2} = 35$
- For $40-50$: $\frac{40+50}{2} = 45$
$2$. Create a table of (class mark, frequency) coordinates: $(5, 6), (15, 4), (25, 10), (35, 12), (45, 5)$.
$3$. To close the polygon, include two additional classes with frequency $0$: one before the first class $(-10-0)$ with class mark $-5$ and one after the last class $(50-60)$ with class mark $55$.
$4$. Plot these points on a graph paper where the $x$-axis represents the class marks and the $y$-axis represents the frequencies.
$5$. Join the points with straight line segments to form the frequency polygon.

Explore More

Similar Questions

If $\bar{x}$ represents the mean of $n$ observations $x_{1}, x_{2}, \ldots, x_{n},$ then the value of $\sum_{i=1}^{n}(x_{i}-\bar{x})$ is

Find the mean of the following frequency distribution:
Score $(x)$ $1$ $2$ $3$ $4$ $5$ $6$ $7$
Frequency $(f)$ $5$ $9$ $12$ $17$ $14$ $10$ $6$

The mean of the data: $2, 8, 6, 5, 4, 5, 6, 3, 6, 4, 9, 1, 5, 6, 5$ is given to be $5$. Based on this information,is it correct to say that the mean of the data: $10, 12, 10, 2, 18, 8, 12, 6, 12, 10, 8, 10, 12, 16, 4$ is $10$? Give reason.

For drawing a frequency polygon of a continuous frequency distribution,we plot the points whose ordinates are the frequencies of the respective classes and abscissae are respectively:

The mean of the following distribution is $50$. Find the value of $a$ and hence the frequencies of $30$ and $70$.
$x$$f$
$10$$17$
$30$$5a+3$
$50$$32$
$70$$7a-11$
$90$$19$

Difficult
View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo