Median of 2.5, 2.3, 2.3, 1.8, 2.3, 1.5 please help its due today ;(

Question

asked Aug 15, 2021 52.2k views

2 Answers

JustinBlaber · Answer 1 · 2021-08-16T14:04:44+0000

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{2.3}}}}}$

Explanation:

$\star{ \tt{ \: Given \: data}}$ :

$\sf{2.5 \: , \: 2.3 \: , \: 2.3 \: , \: 1.8 \: , \: 2.3 \: , \: 1.5}$

$\star{ \sf{ \: Arranging \: the \: given \: data \: in \: ascending \: order}}$ :

$\sf{1.5 \: , \: 1.8 \: , \: 2.3 \: , \: 2.3 \: , \: 2.3 \: , \: 2.5}$

$\star{ \sf{ \: n \: ( \: Total \: number \: of \: observation \: ) \: = \: 6}}$

Finding the position of median

$\bold{ \boxed{ \sf{ \: Position \: of \: median = ( (n + 1)/(2) ) ^(th) item}}}$

$\longmapsto{ \sf{position \: of \: median = ( (6 + 1)/(2) ) ^(th) item}}$

$\longmapsto{ \sf{position \: of \: median \: = \: ( (7)/(2) ) ^(th) item}}$

$\longmapsto {\sf{position \: of \: median = {3.5}^(th) item}}$

$\sf{ {3.5}^(th) }$ item is the average of 3rd and 4th items.

$\sf{∴Median = \frac{ {3}^(rd) item + {4}^(th) item}{2} }$

$\longmapsto{ \sf{median = (2.3 + 2.3)/(2)}}$

$\longmapsto{ \sf{median = (4.6)/(2) }}$

$\longmapsto{ \sf{median = 2.3}}$

∴ Median = 2.3

-------------------------------------------------------------

$\star \: \underline{ \tt{Remember ! }}$

▪️If n is odd , the median is the value of the
$\sf{( (n + 1)/(2) ) ^(th) }$ observation.

▪️If n is even, the median is the average of
$\sf{( (n)/(2) ) ^(th)}$ and
$\sf{( (n)/(2) + 1) ^(th) }$ observation.

Hope I helped!

Best regards! :D

~TheAnimeGirl