Find the mean deviation about the median for the data : $4, 6, 9, 3, 10, 13, 2$.

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Accepted Answer

>

> [!TLDR]
> Arrange the data, find the median, then average the absolute deviations from it.
>
> Data: $4,6,9,3,10,13,2$. Arrange in ascending order:
> $$2,\,3,\,4,\,6,\,9,\,10,\,13$$
>
> There are $n=7$ (odd) observations, so the median is the $\left(\dfrac{n+1}{2}ight)^{th}=4^{th}$ value:
> $$	ext{Median}=6$$
>
> Find $|x_i-	ext{Median}|$ for each value:
>
> | $x_i$ | 2 | 3 | 4 | 6 | 9 | 10 | 13 |
> |---|---|---|---|---|---|---|---|
> | $|x_i-6|$ | 4 | 3 | 2 | 0 | 3 | 4 | 7 |
> …

Q.Find the mean deviation about the median for the data : $4, 6, 9, 3, 10, 13, 2$ .

Concept understanding — Mean Deviation about the Mean and Median

Q.Find the mean deviation about the median for the data : 4,6,9,3,10,13,24, 6, 9, 3, 10, 13, 24,6,9,3,10,13,2.

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Q.Find the mean deviation about the median for the data : $4, 6, 9, 3, 10, 13, 2$ .

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