Question

Draw the histogram to represent the following data, hence find the mode.

Daily sales of a store in (Rs.)	$0-1000$	$1000-2000$	$2000-3000$	$3000-4000$	$4000-5000$	Total
Number of days in a month	$2$	$12$	$10$	$4$	$2$	$30$

• A. Rs. $1500$
• B. Rs. $1600$
• C. Rs. $1700$
• D. Rs. $1800$

Answer 1

Answer: (D)

Rs. $1800$

max. frequency = $12$

so group is = $1000-2000$

so mode = $L+\frac{f_1-f_0}{2f_1-f_0-f_2}\times w$

L= lower class boundary of the modal group

$f_1$ = frequency of the modal group

$f_0$= frequency of the class preceding or just before the modal class

$f_2$ = frequency of the class succeeding or just after the modal class

$w$= group width

mode = $1000+\frac{12-2}{2\times 12-2-10}\times 1000$

mode= $1000+833.33$

mode = $1833.333$

mode = $1800$