The frequency distribution of the marks scored by $35$ students in a $60$ marks test is as below:
Marks scoredNo. of students
$0-10$$2$
$10-20$$7$
$20-30$$8$
$30-40$$7$
$40-50$$8$
$50-60$$3$

Represent the data by a histogram.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) To represent the given data by a histogram,follow these steps:
$1$. Draw two perpendicular axes,the $X$-axis and the $Y$-axis.
$2$. Along the $X$-axis,represent the 'Marks scored' with a suitable scale (e.g.,$1$ cm = $10$ units).
$3$. Along the $Y$-axis,represent the 'No. of students' with a suitable scale (e.g.,$1$ cm = $1$ unit).
$4$. Construct rectangular bars for each class interval such that the width of the bar is equal to the class size and the height is proportional to the frequency of that class.
$5$. Since the class intervals are continuous,the bars will be adjacent to each other.
The resulting histogram shows the distribution of students across different mark ranges as depicted in the provided graph.

Explore More

Similar Questions

Find the mean of the first seven natural numbers.

The mean of the observations $x+5$,$x+3$,$x+11$,and $x+1$ is ..........

The following are the marks (out of $100$) of $60$ students in mathematics:
$16, 13, 5, 80, 86, 7, 51, 48, 24, 56, 70, 19, 61, 17, 16, 36, 34, 42, 34, 35, 72, 55, 75, 31, 52, 28, 72, 97, 74, 45, 62, 68, 86, 35, 85, 36, 81, 75, 55, 26, 95, 31, 7, 78, 92, 62, 52, 56, 15, 63, 25, 36, 54, 44, 47, 27, 72, 17, 4, 30$
Construct a grouped frequency distribution table with a width of $10$ for each class,starting from $0-9$.

If the mean of $18, 2x, 27, 12, 3x, 5x$ and $21$ is $24,$ then find $x$.

The observations $7, 15, x-1, x+1, 24, 28$ have been arranged in ascending order. If the median of the data is $21$,find the value of $x$.

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