Question

whts the median of the data 13,12,17,29,25,30,18
plz answer quick ​

Answer 1

Answer:

ascending order

12,13,17,18,25,29,30

18 is the median

Answer 2

Solution :

Arranging the data in an Ascending Order, we get -

12, 13, 17, 18, 25, 29, 30

$\begin{gathered} \end{gathered}$

Let the Total Number of Observations be n.

Here, n = 7 (Odd)

$\begin{gathered} \end{gathered}$

∴ Median = Value of $\mathrm {\bf \Big( \dfrac{n + 1}{2} \Big )^{th}}$Observation

$\begin{aligned} \bold {Median} &= Value\: of\: \Big (\dfrac{7 + 1}{2}\Big ) ^{th}\:Observation\\\\&\Rightarrow Value\: of\: \Big (\dfrac{8}{2}\Big )^{th}\: Observation\\\\&\Rightarrow Value\: of\: 4^{th}\: Observation = \bf 18 \end{aligned}$

$\begin{gathered} \end{gathered}$

Hence, the Median of the given Data is 18 . . .

$\begin{gathered} \end{gathered}$

Additional Information :

Median :-

After arranging the given Data in an Ascending or a Descending Order of Magnitude,

The Value of the Middle - most Observation is called the Median of the Data.

$\begin{gathered} \end{gathered}$$\begin{gathered} \end{gathered}$

Let the Total Number of Observations be n.

(i) If n is Odd, then Median = Value of $\mathtt{\bf \Big (\dfrac{n + 1}{2} \Big )^{th}}$Observation.

(ii) If n is Even, then Median = Mean* of $\mathtt {\bf \Big (\dfrac{n}{2}\Big )^{th}}$and $\mathtt {\bf \Big (\dfrac{n}{2} + 1 \Big )^{th}}$Observations.

$\begin{gathered} \end{gathered}$

* Mean :- The Average of a given set of Observations is called the Mean of the given Numbers.

Mean = $\mathrm {\bf \dfrac{Sum\: of\: Observations}{No.\: of\: Observations}}$