Find the mean deviation about the mean for th | vedclass

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(B) First,calculate the mean $\bar{x} = \frac{\sum f_i x_i}{\sum f_i}$.      $x_i$    $f_i$    $f_i x_i$    $|x_i - \bar{x}|$    $f_i |x_i - \bar{x}|$

Vedclass · Accepted Answer

$7.09$

Vedclass · Answer

(B) First,calculate the mean $\bar{x} = \frac{\sum f_i x_i}{\sum f_i}$.      $x_i$    $f_i$    $f_i x_i$    $|x_i - \bar{x}|$    $f_i |x_i - \bar{x}|$        $3$    $8$    $24$    $|3 - 15| = 12$    $96$        $9$    $10$    $90$    $|9 - 15| = 6$    $60$        $17$    $12$    $204$    $|17 - 15| = 2$    $24$        $23$    $9$    $207$    $|23 - 15| = 8$    $72$        $27$    $5$    $135$    $|27 - 15| = 12$    $60$        Total    $N = 44$    $\sum f_i x_i = 660$    -    $\sum f_i |x_i - \bar{x}| = 312$  Mean $\bar{x} = \frac{660}{44} = 15$.Mean deviation about mean $= \frac{\sum f_i |x_i - \bar{x}|}{N} = \frac{312}{44} \approx 7.09$.

Class Interval	$0-2$	$2-4$	$4-6$	$6-8$	$8-10$
Frequency	$1$	$2$	$3$	$2$	$1$

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

Find the mean deviation about the mean for the following data:

$x_i$ $3$ $9$ $17$ $23$ $27$

$f_i$ $8$ $10$ $12$ $9$ $5$

Similar Questions

The approximate value of the mean deviation about the mean for the following data is
Class Interval $0-2$ $2-4$ $4-6$ $6-8$ $8-10$
Frequency $1$ $2$ $3$ $2$ $1$

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

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

Let the mean of $6$ observations $1, 2, 4, 5, x,$ and $y$ be $5$ and their variance be $10$. Then their mean deviation about the mean is equal to $........$.

If the mean deviation about the median of the numbers $a, 2a, 3a, \dots, 50a$ is $50$,then what is the value of $|a|$?

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Find the mean deviation about the mean for the following data: $x_i$ $3$ $9$ $17$ $23$ $27$ $f_i$ $8$ $10$ $12$ $9$ $5$