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Q.

Let the median and the mean deviation about the median of 7 observation 170,125, 230, 190, 210, a,b be 170 and  2057  respectively. Then the mean deviation about the mean of these 7 observations is:

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answer is 30.

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Detailed Solution

Median =  170⇒125,a,b,170,190,210,230
Mean deviation about
Median= 
0+45+60+20+40+170−a+170−b7=175 
⇒a+b=300 
Mean=  170+125+230+190+210+a+b7=175
Mean deviation 
About mean =
 50+175−a+175−b+5+15+35+557=30

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