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# Find the mean deviation about the median for the dataxi579101215fi862226

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#### xi fiCumulative frequency|xi−M|⟹|xi−7| fi|xi−M| 5 8 8 216 7 6 14 0 0 9 2 16 2 4 10 2 18 3 612 220 5 10 15 6 26 8 48 Total 26 84Here, N=26 (even)So, Median M=(N/2)thobservation+(N/2+1)thobservation2M=13thobservation+14thobservation2 ⇒M=7+72=7 (Here, 13 and 14 both lies in the cumulative frequency 14, so corresponding observation for both is 7)Mean deviation about median =∑fi|xi−M|∑fi =8426 =3.23

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