The lengths of $40$ leaves of a plant are measured correct to one millimetre,and the obtained data is represented in the following table:

Length (in $mm$)	Number of leaves
$118-126$	$3$
$127-135$	$5$
$136-144$	$9$
$145-153$	$12$
$154-162$	$5$
$163-171$	$4$
$172-180$	$2$

$(i)$ Draw a histogram to represent the given data. [Hint: First make the class intervals continuous]
$(ii)$ Is there any other suitable graphical representation for the same data?
$(iii)$ Is it correct to conclude that the maximum number of leaves are $153 \, mm$ long? Why?

(N/A) $(i)$ It can be observed that the length of leaves is represented in a discontinuous class interval having a difference of $1$ between them.
Therefore,$1/2 = 0.5$ has to be added to each upper class limit and subtracted from each lower class limit to make the class intervals continuous.

Length (in $mm$)	Number of leaves
$117.5-126.5$	$3$
$126.5-135.5$	$5$
$135.5-144.5$	$9$
$144.5-153.5$	$12$
$153.5-162.5$	$5$
$162.5-171.5$	$4$
$171.5-180.5$	$2$

Taking the length of leaves on the $x$-axis and the number of leaves on the $y$-axis,the histogram is drawn as shown in the figure.
$(ii)$ Another suitable graphical representation for this data is a frequency polygon.
$(iii)$ No,it is not correct. The maximum number of leaves $(12)$ have their lengths in the range of $144.5 \, mm$ to $153.5 \, mm$. It does not mean that all these leaves are $153 \, mm$ long.