Let $\bar{X}$ and $M.D.$ be the mean and the mean deviation about $\bar{X}$ of $n$ observations $x_i,$ $i = 1, 2, \dots, n.$ If each of the observations is increased by $5,$ then the new mean and the mean deviation about the new mean,respectively,are
- A$\bar{X}, M.D.$
- B$\bar{X} + 5, M.D.$
- C$\bar{X}, M.D. + 5$
- D$\bar{X} + 5, M.D. + 5$
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If $\alpha \neq 0$ and the mean deviation of the observations $\{k \alpha\}$ for $k=1, 2, \ldots, 50$ about its median is $50$,then $|\alpha|=$
The frequency distribution of the age of students in a class of $40$ students is given below.
Age $15$ $16$ $17$ $18$ $19$ $20$ No. of students $5$ $8$ $5$ $12$ $X$ $Y$
If the mean deviation about the median is $1.25$,then $4X + 5Y$ is equal to:
| Age | $15$ | $16$ | $17$ | $18$ | $19$ | $20$ |
| No. of students | $5$ | $8$ | $5$ | $12$ | $X$ | $Y$ |
If the mean deviation about the median is $1.25$,then $4X + 5Y$ is equal to:
Find the mean deviation about the mean for the data $38, 70, 48, 40, 42, 55, 63, 46, 54, 44$.
Medium
View SolutionThe mean deviation from the median for the following distribution (corrected to $2$ decimals) is
$x_i$ $3$ $6$ $9$ $12$ $13$ $15$ $21$ $22$ $f_i$ $3$ $4$ $5$ $2$ $4$ $5$ $4$ $3$
| $x_i$ | $3$ | $6$ | $9$ | $12$ | $13$ | $15$ | $21$ | $22$ |
| $f_i$ | $3$ | $4$ | $5$ | $2$ | $4$ | $5$ | $4$ | $3$ |
The mean deviation from the mean of the discrete data $2, 3, 5, 7, 11, 13, 17, 19, 22$ is
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