Question
Draw a histogram for the frequency distribution of the following date:
Class interval
$8-13$
$13-18$
$18-23$
$23-28$
28-33
33-38
38-43
Frequency
$320$
$780$
$160$
$540$
260
100
80

Answer

Give frequency distribution is as below:
Class interval
$8-13$
$13-18$
$18-23$
$23-28$
$28-33$
$33-38$
$38-43$
Frequency
$320$
$780$
$160$
$540$
$260$
$100$
$80$
In the class intervals, if the upper limit of one class is the lower limit of the next class, it is know as the exclusive method of classification.
Clearly, the given frequency distribution is in the exclusive form.
We take class intervals along $x$-axis and frequency along $y$-axis.
So, we get the required histogram. Since the scale on $X$-axis starts at $8$, a kink (break) is indicated near the origin to show that the graph is drawn to scale beginning at $8$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Find the length of a chord which is at a distance of $3\ cm$ from the centre of a circle of radius $5\ cm.$
If each side of a triangle is doubled, then find the ratio of area of new triangle thus formed and the given triangle.
In a $\triangle\text{ABC},\angle\text{ABC}=\angle\text{ACB}$ and the bisectors of $\angle\text{ABC}$ and $\angle\text{ACB}$ intersect at O such that $\angle\text{BOC}=120^\circ.$ Show that $\angle\text{A}=\angle\text{B}=\angle\text{C}=60^\circ.$
In the given figure, $AB$ is a diameter of a circle with centre $O$ and $DO \|\ CB$. If $\angle\text{BCD}=120^\circ,$ calculate
$i. \angle\text{BAD}$
$ii. \angle\text{ABD}$
$iii. \angle\text{CBD}$
$iv. \angle\text{ADC}$
Also, show that $\triangle\text{AOD}$ is an equilateral triangle.
The factors of $x^3 - 7x + 6$ are:
Simplify the following products: $\Big(\frac{\text{x}}{2}-\frac{2}{5}\Big)\Big(\frac{2}{5}-\frac{\text{x}}{2}\Big)-\text{x}^2+2\text{x}$
If $\left(x^3+a x^2+b x+6\right)$ has $(x-2)$ as a factor and leaves a remainder $3$ when divided by $(x-3)$, find the values of $a$ and $b$.
$100$ surnames were randomly picked up from a local telephone directory and frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:
Number of letters
$1-4$
$4-6$
$6-8$
$8-12$
$12-20$
Number of surnames
$6$
$30$
$44$
$16$
$4$
$i.$ Draw a histogram to depict the given information.
$ii.$ Write the class interval in which the maximum number of surnames lie.
$AB$ and $AC$ are two chords of a circle of radius r such that $AB = 2AC$. If $p$ and $q$ are the distances of $AB$ and $AC$ from the centre then prove that $4q^2 = p^2 + 3r^2.$
Draw the graphs of the lines $x - y = 1$ and $2x + y = 8$. Shade the area formed by these two and the $y$-axis. Also, find this area.