Question

Find the median weight of the students in the following data by ogive curves.

Weight (in Kg)	$<45$	$<50$	$<55$	$<60$	$<65$	$<70$	$<75$
No. of Students	$2$	$5$	$13$	$19$	$25$	$28$	$30$

• A. $61.55$
• B. $56.67$
• C. $40.86$
• D. none

Answer 1

The correct option is B $56.67$

$\Rightarrow$ Now, we are going to form less than frequency table :

$Weight$	$c.f$
Less than $45$	$2$
Less than $50$	$5$
Less than $55$	$13$
Less than $60$	$19$
Less than $65$	$25$
Less than $70$	$28$
Less than $75$	$30$

$\Rightarrow$ We have on $x-axis$ = weight of students and on $y-axis$ = number of students.
$N=30$ Then, $\frac{30}{2}=15$

Now, we are going to draw a horizontal line from $15$ at $y-axis$, then the point at which it touches curve from there we are going to draw vertical line to the x-axis.

$\Rightarrow$ The point at which it touches $x-axis$ is median.

$\therefore$ $Median=56.67$