Prepare a continuous grouped frequency distribution from the following data:
Mid-point Frequency
$5$ $4$
$15$ $8$
$25$ $13$
$35$ $12$
$45$ $6$

Also,find the size of the class intervals.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
The mid-points are $5, 15, 25, 35,$ and $45.$ The common difference between consecutive class marks is $h = 15 - 5 = 10.$
To find the class intervals,we subtract and add $\frac{h}{2} = \frac{10}{2} = 5$ from each mid-point.
For mid-point $5$: $5 - 5 = 0$ and $5 + 5 = 10$,so the interval is $0-10$.
For mid-point $15$: $15 - 5 = 10$ and $15 + 5 = 20$,so the interval is $10-20$.
For mid-point $25$: $25 - 5 = 20$ and $25 + 5 = 30$,so the interval is $20-30$.
For mid-point $35$: $35 - 5 = 30$ and $35 + 5 = 40$,so the interval is $30-40$.
For mid-point $45$: $45 - 5 = 40$ and $45 + 5 = 50$,so the interval is $40-50$.
The size of the class interval is $10.$
$A$ continuous grouped frequency distribution is given below:
Class Interval Frequency
$0-10$ $4$
$10-20$ $8$
$20-30$ $13$
$30-40$ $12$
$40-50$ $6$

Explore More

Similar Questions

The marks obtained (out of $50$ marks) by $30$ students in a mathematics test are as given below:
$37, 22, 35, 42, 10, 16, 31, 22, 20, 27$
$27, 20, 31, 40, 35, 40, 27, 16, 47, 22$
$40, 22, 35, 20, 37, 20, 37, 47, 42, 31$
Represent this data in a frequency distribution table.

In the figure,there is a histogram depicting the daily wages of workers in a factory. Construct the frequency distribution table.

The information regarding the marks scored by $30$ students in a $50$ marks test is given below:
Marks $(x_{i})$ $15$ $22$ $28$ $31$ $35$ $40$ $44$ $46$
Number of students $(f_{i})$ $2$ $3$ $5$ $6$ $6$ $4$ $3$ $1$

Find the mean of the data.

In a frequency distribution,the mid value of a class is $10$ and the width of the class is $6$. The lower limit of the class is:

The class mark of a frequency distribution with equal sizes of two successive classes is $72$ and $77$. Then,the width of the class 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