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 2019Subjective· 2mImportance★★★★★

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Sorting the data, finding the median, then averaging the absolute deviations from it gives a mean deviation of $\dfrac{23}{7}$ .

Step 1 — Sort the data.

$4,6,9,3,10,13,2 \to 2,3,4,6,9,10,13$ ( $n=7$ , odd).

Step 2 — Find the median.

With 7 (odd) values, the median is the $\left(\dfrac{n+1}{2}\right)^{\text{th}}=4^{\text{th}}$ value $=6$ .

Step 3 — Find absolute deviations from the median. …

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