Question

The table is a frequency table for number of days and temperature obtained in a month. Find the median day of temperature.

Number of days	$3$	$4$	$5$	$6$	$7$
Temperature ${}^{o}C$	$20$	$30$	$10$	$15$	$5$

• A. $3$
• B. $4$
• C. $5$
• D. $6$

Answer 1

Answer: (B)

$4$

$Numberofdays$	$Temperature$ ${}^{o}C$	$c.f$
$3$	$20$	$20$
$4$	$30$	$50$
$5$	$10$	$60$
$6$	$15$	$75$
$7$	$5$	$80$

Here, $N=80$ then, $\frac{N}{2}=\frac{80}{2}=40$

We find that the cummulative frequency greater than $\frac{N}{2}\left(40\right)$ is $50$ and value of $x$ corresponding to $50$ is $4$.

$\therefore$ Median day of temperature $=4$