$100$ surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:

Number of letters	Number of surnames
$1-4$	$6$
$4-6$	$30$
$6-8$	$44$
$8-12$	$16$
$12-20$	$4$

$(i)$ Draw a histogram to depict the given information.
$(ii)$ Write the class interval in which the maximum number of surnames lie.

(N/A) $(i)$ Here,it can be observed that the data has class intervals of varying width. The proportion of the number of surnames per $2$ letters interval can be calculated as follows:

Number of letters	Frequency (Number of surnames)	Width of class	Length of rectangle
$1-4$	$6$	$3$	$\frac{6 \times 2}{3} = 4$
$4-6$	$30$	$2$	$\frac{30 \times 2}{2} = 30$
$6-8$	$44$	$2$	$\frac{44 \times 2}{2} = 44$
$8-12$	$16$	$4$	$\frac{16 \times 2}{4} = 8$
$12-20$	$4$	$8$	$\frac{4 \times 2}{8} = 1$

By taking the number of letters on the $x$-axis and the proportion of the number of surnames per $2$ letters interval on the $y$-axis,the histogram is constructed as shown in the provided image.
$(ii)$ The class interval in which the maximum number of surnames lies is $6-8$,as it contains $44$ surnames,which is the maximum frequency for this data.