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

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3, 6, 10, 4, 9, 10

Andhra Pradesh BieapBIEAP Intermediate Board 2018Subjective· 2mImportance★★★★★

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Find the mean, take the absolute deviation of each value from the mean, then average those deviations.

Data: $3, 6, 10, 4, 9, 10$ ( $n=6$ ).

Step 1 — Mean:

$\bar{x} = \dfrac{3+6+10+4+9+10}{6} = \dfrac{42}{6} = 7$

Step 2 — Absolute deviations $|x_i-\bar x|$ :

$|3-7|=4,\ |6-7|=1,\ |10-7|=3,\ |4-7|=3,\ |9-7|=2,\ |10-7|=3$

Step 3 — Sum and average: …

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