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

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4, 6, 9, 3, 10, 13, 2

Andhra Pradesh BieapBIEAP Intermediate Board 2025Subjective· 2mImportance★★★★★

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Sort the data, find the median, then average the absolute deviations of every value from the median.

Data: $4,6,9,3,10,13,2$ . Sorted: $2,3,4,6,9,10,13$ ( $n=7$ , odd).

Median $=\left(\dfrac{n+1}{2}\right)^{\text{th}}$ term $=4^{\text{th}}$ term $=6$ .

Absolute deviations from the median:

$|2-6|=4,\ |3-6|=3,\ |4-6|=2,\ |6-6|=0,\ |9-6|=3,\ |10-6|=4,\ |13-6|=7.$

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