Questions
The mean deviation from mean of the observations is
a
n(n+1)d23
b
n(n+1)2d2
c
a+n(n+1)d22
d
None of these
detailed solution
Correct option is D
x¯=12n+1[a+(a+d)+…+(a+2nd)]=12n+1[(2n+1)a+d(1+2+…+2n)]=a+d2n2(2n+1)2n+1=a+nd∴MD from mean =12n+1Σxi−x¯=12n+12|d|(1+2+…+n)=n(n+1)|d|(2n+1)Talk 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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