Answer:
I got 2.3
Step-by-step explanation:
line them up in order and count from the outside
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2.3}}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \tt{ \: Given \: data}}[/tex] :
[tex] \sf{2.5 \: , \: 2.3 \: , \: 2.3 \: , \: 1.8 \: , \: 2.3 \: , \: 1.5}[/tex]
[tex] \star{ \sf{ \: Arranging \: the \: given \: data \: in \: ascending \: order}}[/tex] :
[tex] \sf{1.5 \: , \: 1.8 \: , \: 2.3 \: , \: 2.3 \: , \: 2.3 \: , \: 2.5}[/tex]
[tex] \star{ \sf{ \: n \: ( \: Total \: number \: of \: observation \: ) \: = \: 6}}[/tex]
Finding the position of median
[tex] \bold{ \boxed{ \sf{ \: Position \: of \: median = ( \frac{n + 1}{2} ) ^{th} item}}}[/tex]
[tex] \longmapsto{ \sf{position \: of \: median = ( \frac{6 + 1}{2} ) ^{th} item}}[/tex]
[tex] \longmapsto{ \sf{position \: of \: median \: = \: ( \frac{7}{2} ) ^{th} item}}[/tex]
[tex] \longmapsto {\sf{position \: of \: median = {3.5}^{th} item}}[/tex]
[tex] \sf{ {3.5}^{th} }[/tex] item is the average of 3rd and 4th items.
[tex] \sf{∴Median = \frac{ {3}^{rd} item + {4}^{th} item}{2} }[/tex]
[tex] \longmapsto{ \sf{median = \frac{2.3 + 2.3}{2}}} [/tex]
[tex] \longmapsto{ \sf{median = \frac{4.6}{2} }}[/tex]
[tex] \longmapsto{ \sf{median = 2.3}}[/tex]
∴ Median = 2.3
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[tex] \star \: \underline{ \tt{Remember ! }}[/tex]
▪️If n is odd , the median is the value of the [tex] \sf{( \frac{n + 1}{2} ) ^{th} }[/tex] observation.
▪️If n is even, the median is the average of [tex] \sf{( \frac{n}{2} ) ^{th}} [/tex] and [tex] \sf{( \frac{n}{2} + 1) ^{th} }[/tex] observation.
Hope I helped!
Best regards! :D
~TheAnimeGirl
