Questions
If the mean deviations about the median of the numbers a, 2a, . . . ,50a is 50, then is equal to
a
3
b
4
c
5
d
2
detailed solution
Correct option is B
Median a, 2a, . . . , 50 is 25a+26a2=(25.5)aMean deviation about median =∑i=150 ∣xi− median ∣n⇒ 50=150{2|a|⋅(0.5+1.5+2.5+…+24.5)}⇒ 2500=2|a|252(2×0.5+24×1)=2|a|⋅252(25)⇒ |a|=4Talk to our academic expert!
Similar Questions
Following are the marks obtained by 9 students in a mathematics test:
50, 69,20,33, 53,39, 40, 65, 59
The mean deviation from the median is
799 666 8865
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