Find the mean deviation about the median for | vedclass

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Question

(C) First,arrange the observations in ascending order: $150, 210, 240, 300, 310, 320, 340$.The number of observations $n = 7$,which is odd.The median

Vedclass · Accepted Answer

$52.8$

Vedclass · Answer

(C) First,arrange the observations in ascending order: $150, 210, 240, 300, 310, 320, 340$.The number of observations $n = 7$,which is odd.The median is the middle term,which is the $4^{th}$ term: $	ext{Median} = 300$.Now,calculate the mean deviation about the median using the formula $\frac{1}{n} \sum |x_i - 	ext{Median}|$: 						$x_i$			$|x_i - 300|$							$150$			$|150 - 300| = 150$							$210$			$|210 - 300| = 90$							$240$			$|240 - 300| = 60$							$300$			$|300 - 300| = 0$							$310$			$|310 - 300| = 10$							$320$			$|320 - 300| = 20$							$340$			$|340 - 300| = 40$							Total			$\sum |x_i - 300| = 370$			Mean deviation about median $= \frac{370}{7} \approx 52.857 \approx 52.86$.

Income per day	Number of persons
$0-100$	$4$
$100-200$	$8$
$200-300$	$9$
$300-400$	$10$
$400-500$	$7$
$500-600$	$5$
$600-700$	$4$
$700-800$	$3$

$\text{Marks obtained}$	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$
$\text{Number of Boys}$	$6$	$8$	$10$	$4$	$2$

Find the mean deviation about the median for the given data: $340, 150, 210, 240, 300, 310, 320$.

Similar Questions

Find the mean deviation about the mean for the following data:
Income per day Number of persons
$0-100$ $4$
$100-200$ $8$
$200-300$ $9$
$300-400$ $10$
$400-500$ $7$
$500-600$ $5$
$600-700$ $4$
$700-800$ $3$

If the mean deviation about the median of $x, 2x, 3x, 4x, 5x, 6x, 7x, 8x, 9x, 10x$ is $30$,then $|x|$ equals:

Calculate the mean deviation about the mean of the set of first $n$ natural numbers when $n$ is an even number.

The mean of $5$ observations is $5$ and their variance is $124$. If three of the observations are $1, 2$ and $6$,then the mean deviation from the mean of the data is:

The mean deviation about the mean for the following data is:
$\text{Marks obtained}$ $0-10$ $10-20$ $20-30$ $30-40$ $40-50$
$\text{Number of Boys}$ $6$ $8$ $10$ $4$ $2$

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