The median of 10, 14, 11, 9, 8, 12, 6 is | vedclass

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Question

(A) Step $1$: Arrange the given data in ascending order: $6, 8, 9, 10, 11, 12, 14$.Step $2$: Count the number of observations $(n)$. Here,$n = 7$,whic

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(A) Step $1$: Arrange the given data in ascending order: $6, 8, 9, 10, 11, 12, 14$.Step $2$: Count the number of observations $(n)$. Here,$n = 7$,which is an odd number.Step $3$: The formula for the median when $n$ is odd is the value of the ${\left( \frac{n+1}{2} \right)}^{th}$ term.Step $4$: Substitute $n = 7$ into the formula: Median = ${\left( \frac{7+1}{2} \right)}^{th}$ term = ${\left( \frac{8}{2} \right)}^{th}$ term = $4^{th}$ term.Step $5$: The $4^{th}$ term in the ordered sequence is $10$. Therefore,the median is $10$.

The median of $10, 14, 11, 9, 8, 12, 6$ is

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