If the mean deviations about the median of the numbers a, 2a, . . . ,50a is 50, then |a| is equal to

If the mean deviations about the median of the numbers a, 2a, . . . ,50a is 50, then $|\mathrm{a}|$ is equal to

1. A

3

2. B

4

3. C

5

4. D

2

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Solution:

Median  a, 2a, . . . , 50 is $\frac{25\mathrm{a}+26\mathrm{a}}{2}=\left(25.5\right)\mathrm{a}$