The mean deviation of an ungrouped data is 50. If each observation is increased by 2%, then the new mean deviation is
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a
50
b
51
c
49
d
50.5
answer is B.
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Detailed Solution
If x1…xn are the observations then the newobservations are (1.02)x1,(1.02)x2..,(1.02)xnTherefore the new mean =(1.02)x¯New mean deviation =1n∑(1.02)xi−(1.02)x¯ =(1.02)1n∑xi−x¯=(1.02)×50=51