Question

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

Answer 1

`\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

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`\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

Answer 2

I got 2.3

Explanation:

line them up in order and count from the outside