Find the median of the observations 18, 8, 12 | vedclass

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(D) To find the median,first arrange the given observations in ascending order:$3, 4, 5, 8, 10, 12, 18, 20$.The total number of observations $n = 8$,w

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$9$

Vedclass · Answer

(D) To find the median,first arrange the given observations in ascending order:$3, 4, 5, 8, 10, 12, 18, 20$.The total number of observations $n = 8$,which is an even number.For an even number of observations,the median is the average of the $(\frac{n}{2})^{th}$ and $(\frac{n}{2} + 1)^{th}$ terms.Here,$\frac{n}{2} = \frac{8}{2} = 4^{th}$ term and $(\frac{n}{2} + 1) = 5^{th}$ term.The $4^{th}$ term is $8$ and the $5^{th}$ term is $10$.Median = $\frac{8 + 10}{2} = \frac{18}{2} = 9$.

Find the median of the observations $18, 8, 12, 3, 20, 4, 10, 5$.

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