If $\bar{x}$ is the mean of $n$ observations $x_1, x_2, \ldots, x_n$,then the mean of the absolute deviations of these observations from $\bar{x}$ is
- Athe variance of the data
- Bthe mean proportion of the data
- Cthe standard deviation of the data
- Dthe mean deviation of the data
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Similar Questions
If $a_0, a_1, \ldots, a_{11}$ are in an arithmetic progression with common difference $d$,then their mean deviation from their arithmetic mean is
The mean deviation about the mean for the following data is
Class Interval $0-4$ $4-8$ $8-12$ $12-16$ Frequency $4$ $3$ $2$ $1$
| Class Interval | $0-4$ | $4-8$ | $8-12$ | $12-16$ |
| Frequency | $4$ | $3$ | $2$ | $1$ |
The mean deviation about the mean for the following data is Class Interval $0$–$2$ $2$–$4$ $4$–$6$ $6$–$8$ $8$–$10$ Frequency $1$ $3$ $4$ $1$ $2$
| Class Interval | $0$–$2$ | $2$–$4$ | $4$–$6$ | $6$–$8$ | $8$–$10$ |
| Frequency | $1$ | $3$ | $4$ | $1$ | $2$ |
The following data represents the frequency distribution of $20$ observations. $x_i$ $3$ $4$ $5$ $8$ $10$ $11$ $f_i$ $\alpha+2$ $(\alpha-1)^2$ $4$ $\alpha-1$ $2$ $\alpha$
Then its mean deviation about the mean is
| $x_i$ | $3$ | $4$ | $5$ | $8$ | $10$ | $11$ |
|---|---|---|---|---|---|---|
| $f_i$ | $\alpha+2$ | $(\alpha-1)^2$ | $4$ | $\alpha-1$ | $2$ | $\alpha$ |
The mean deviation about the mean for the data:
$x_i$
$5$
$7$
$9$
$10$
$12$
$15$
$f_i$
$8$
$6$
$2$
$2$
$2$
$6$
is equal to: (in /$13$)
| $x_i$ | $5$ | $7$ | $9$ | $10$ | $12$ | $15$ |
| $f_i$ | $8$ | $6$ | $2$ | $2$ | $2$ | $6$ |
DifficultJEE MAIN 2026
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