Question

Find the median of the following data.
25, 24, 22, 24, 21, 30, 26, 25, 31​

Answer 1

$\huge{\bf{\green{\mathfrak{Question:-}}}}$

• Find the median of the following data:-
• 25, 24, 22, 24, 21, 30, 26, 25, 31

$\huge {\bf{\orange{\mathfrak{Answer:-}}}}$

• $\textsf{Arranging the given data in ascending order,}$

• $\textsf{25, 24, 22, 24, 21, 30, 26, 25, 31}$

• $\textsf{21 < 22 < 24 < 24 < 25 < 25 < 26 < 30 < 31}$

• $\textsf{21, 22, 24, 24, 25, 25, 26, 30, 31}$

• $\boxed{\sf{Median \: = \: \dfrac{N \: + \: 1}{2} \: where \: N \: is \: odd.}}$

• $\sf{Median \: = \: \dfrac{9 \: + \: 1}{2}}$

• $\sf{Median \: = \: \dfrac{10}{2}}$

• $\sf{Median \: = \: 5th \: term.}$

• $\sf{Median \: = \: 25}$

$\huge{\bf{\red{\mathfrak{Conclusion:-}}}}$

• $\boxed{\therefore{\sf{Median \: = \: 25 \: of \: the \: given \: data.}}}$

Answer 2

${\large{\pmb{\sf{\underline{Finding \; median \: 1^{st}}}}}}$

Procedure: To find median firstly we have to make the terms in ascending or descending order as we want. Then we have to check the middle term there. Then we get our answer means middle terms in that sequence is the median but if there is no middle term coming means for example there are total 6 terms then it obvious that in middle no term will come because it be even then we have to add two middle terms then we have to divide it by two. Ascending order? Small number to big number. And we get our final result! Let's solve this.

${\sf{:\implies Total \: number \: of \: observations \: = 9}}$

${\sf{:\implies Observations \: = 25,24,22,24,21,30,26,25 \: and \: 31}}$

${\sf{:\implies Ascending \: order \: of \: observations \: = 21,22,24,24,25,25,26,30 \: and \: 31}}$

${\sf{:\implies Middle \: term \: = 25}}$

${\sf{:\implies Median \: = 25}}$

${\pmb{\tt{\therefore \: \: \: 25 \: is \: the \: median \: term \: of \: observation}}}$