Question

Draw less than type cumulative frequency curve for the following data and find the median graphically.

Body mass index	18 - 19	19 - 20	20 - 21	21 - 22	22 - 23	23 - 24
No. of persons	5	12	18	25	16	4

• A. Median $\approx$ $21.04$
• B. Median $\approx$ $16$
• C. Median $\approx$ $40$
• D. Median $\approx$ $25$

Answer 1

The correct option is A Median $\approx$ $21.04$

BODY MASS INDEX	NO.OF PERSON	UPPER LIMIT	LESS THAN CUMULATIVE FREQUENCY
$18-19$	$5$	$19$	$5$
$19-20$	$12$	$20$	$17$
$20-21$	$18$	$21$	$35$
$21-22$	$25$	$22$	$60$
$22-23$	$16$	$23$	$76$
$23-24$	$4$	$24$	$80$

Maximum cumulative frequency=$80$

$\therefore$ Median=$\frac{80}{2}$

$=40$

Value at x axis at y=$40$ is $21.04$