Question

Find the median and mode of the data. : 25, 26, 29, 24, 25, 28, 27, 25, 30. ??????​

Answer 1

MEDIAN:-

Arranging them in ascending order we get:-

$\red{ \bold{ \large{ \longrightarrow \: 24, \: 25, \: 25, \: 25, \: 26, \: 27, \: 28, \: 29, \: 30}}}$

The number of terms is odd (9), hence the median will be:-

$\red{ \bold{ \large{ \longrightarrow \: { \frac{n + 1}{2} }^{th} \: term}}}$

n = 9

$\red{ \bold{ \large{ \longrightarrow \: { \frac{9 + 1}{2} }^{th} }}}$

$\red{ \bold{ \large{ \longrightarrow \: { \frac{10}{2} }^{th} \: term }}}$

hence the median is the 5th term.

The 5th term is 26.

Hence,

$\red{ \bold{ \huge{ \Longrightarrow \:the \: median \: is \: 26 }}}$

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MODE:-

The term 25 has occured the largest number of times.

Hence,

$\blue{ \bold{ \huge{ \Longrightarrow \:the \: mode \: is \: 25 }}}$