Question

The median of the data 34, 46, 56, 27, 28, 35 and 45 is

Answer 1

$Given \:data \: 34,46, 56, 27, 28, 35 \:and\: 45$

/* Arranging the data in ascending order,we get*/

$27,28,34,35,45,46\:and \: 46$

$Number \:of \: terms (n) = 7 \: (Odd)$

$Median = \Big(\frac{n+1}{2} \Big)^{th} \:term \\= \Big(\frac{7+1}{2} \Big)^{th} \:term \\=\Big(\frac{8}{2} \Big)^{th} \:term \\= 4^{th} \:term$

$= 35$

Therefore.,

$\red{ Median } \green { = 35}$

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Answer 2

$\sf{Answer}$

Step by step explanation:-

Median:-

Median is nothing but middle most number .which we should be arange in ascending or descending order

If the no.of observations are odd median will be

Median = $\frac{n+1}{2}$

If the no.of observations are even median will be

Median = $\frac{n}{2}$ + $\frac{n}{2}$+1 /2

_____________________________

Given data 34,46,56,27,28,35,45

Arrange in ascending order

27,28,34,35,45,46,56

No.of observations = 7

Hence no.of observations are odd

Median = $\frac{n+1}{2}$

Median = $\frac{7+1}{2}$

Median = $\frac{8}{2}$

Median = 4th term

Hence 35 is the median of given data