Question

The marks of 15 students in an examination are:
25, 19, 17, 24, 23, 29, 31, 40, 19, 20, 22, 26, 17, 35, 21.
Find the median and mode.

Answer 1

Answer:

median=22.5

mode=17,19

Answer 2

$\sf \Large Solution!!$

$\sf \large Given:$

$\to$ Number of students = 15

$\to$ Observations (in ascending order) = 17, 17, 19, 19, 20, 21, 22, 23, 24, 25, 26, 29, 31, 35, 40

$\sf \large Median:$ The value which is nearest to the middle of the range. We can calculate the median by using these formula:

$\sf \to$ Median for odd number of observations = $\sf \bigg(\dfrac{n+1}{2}\bigg)^{th}term$

Here, $\sf \green{n}$ is the number of students.

$\sf \large Mode:$ The value which occurs most frequently in the given data.

$\sf{\bold{Let's\:find\:out!!}}$

Median = $\sf \bigg(\dfrac{n+1}{2}\bigg)^{th}term$

= $\sf \bigg(\dfrac{15+1}{2}\bigg)^{th}term$

= $\sf 8^{th}term$

$\star$ Median = 23

$\star$ Mode = 17, 19 (As these both numbers occurred most frequently, then these are the mode.)