The median of the following frequency distrib | vedclass

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(C) First,arrange the observations in ascending order and calculate the cumulative frequency $(c.f.)$:						$x_i$			$3$			$6$			$7$			$10$			$12$			$1

Vedclass · Accepted Answer

$8.5$

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(C) First,arrange the observations in ascending order and calculate the cumulative frequency $(c.f.)$:						$x_i$			$3$			$6$			$7$			$10$			$12$			$15$							$f_i$			$3$			$4$			$13$			$2$			$8$			$10$							$c.f.$			$3$			$7$			$20$			$22$			$30$			$40$			Here,$N = 40$,which is even.The median is given by $\frac{(\frac{N}{2})^{th} 	ext{ term} + (\frac{N}{2} + 1)^{th} 	ext{ term}}{2}$.Median $= \frac{20^{th} 	ext{ term} + 21^{st} 	ext{ term}}{2}$.From the table,the $20^{th}$ term is $7$ and the $21^{st}$ term is $10$.Median $= \frac{7 + 10}{2} = \frac{17}{2} = 8.5$.

The median of the following frequency distribution is:

$x_i$ $3$ $6$ $10$ $12$ $7$ $15$

$f_i$ $3$ $4$ $2$ $8$ $13$ $10$

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The median of the following frequency distribution is: $x_i$ $3$ $6$ $10$ $12$ $7$ $15$ $f_i$ $3$ $4$ $2$ $8$ $13$ $10$