For the following data,draw a frequency polygon:
Class $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$
Frequency $1$ $4$ $5$ $10$ $5$ $4$ $1$

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) To draw a frequency polygon,we first calculate the class marks (mid-values) for each class interval.
Class Mid-value Frequency
$10-20$ $15$ $1$
$20-30$ $25$ $4$
$30-40$ $35$ $5$
$40-50$ $45$ $10$
$50-60$ $55$ $5$
$60-70$ $65$ $4$
$70-80$ $75$ $1$

To close the polygon,we include two imaginary classes: $0-10$ with mid-value $5$ and frequency $0$,and $80-90$ with mid-value $85$ and frequency $0$. Plot these points $(5, 0), (15, 1), (25, 4), (35, 5), (45, 10), (55, 5), (65, 4), (75, 1), (85, 0)$ on a graph and join them with line segments.

Explore More

Similar Questions

The mean of $100$ observations is $50$. If one of the observations which was $50$ is replaced by $150$,the resulting mean will be:

....... is a branch of Mathematics in which the extraction of meaningful information is studied.

$A$ football player scored the following number of goals in $10$ matches:
$1, 3, 2, 5, 8, 6, 1, 4, 7, 9$
Since the number of matches is $10$ (an even number),the median is calculated as:
Median $= \frac{5^{\text{th}} \text{ observation} + 6^{\text{th}} \text{ observation}}{2}$
$= \frac{8 + 6}{2} = 7$
Is this the correct answer? If not,why?

The median of the first ten natural numbers is .........

$A$ grouped frequency table with class intervals of equal sizes using $250-270$ ($270$ not included in this interval) as one of the class intervals is constructed for the following data:
$268, 220, 368, 258, 242, 310, 272, 342$
$310, 290, 300, 320, 319, 304, 402, 318$
$406, 292, 354, 278, 210, 240, 330, 316$
$406, 215, 258, 236$
The frequency of the class $310-330$ is:

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