Question

find the median of the following data 1139 43 45 2546 43 42 37​

Answer 1

Answer:

2546

Step-by-step explanation:

median=n+1/2

=7+1/2

=4

4th Term is 2546 i.e median is 2546

Answer 2

★ Given :

• Median = 1139, 43, 45, 2546, 43, 42, 37.

★ To Find :

• Median of the data ?

★ Solution :

• Order the given data in ascending order as:

→ 37 , 42, 43, 43, 45, 1139, 2546

→ Now Since

→ Number (n) = 7 [ odd ]

• We know that,

${ \boxed{ \rm{ \blue{Median = \frac{n + 1}{2} ^{th} }}}}$

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

$\implies{ \rm{Median = \cancel \frac{8}{2} }}$

$\implies{ \rm \: {Median = 4^{th} }}$

• Thus, The medium is 43

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Median :-

• The median is that value of the given number of observations, which divides it into exactly two parts. So, when the data is arranged in ascending (or descending) order the median of of an group data is follows :

1. When the number of observations (n) is odd, the median is the value of the ${ \rm{ \frac{n + 1}{2} ^{th} }}$ Observation.

2. When the number of observations (n) is even, the median is the mean of the ${ \rm{( \frac{n}{2} ) ^{th } \: and \: the \: ( \frac{n + 1}{2} )^{th} }}$ Observation.

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