Question

median of data x/3,x/6,x/9,x/2,x/8,x/4 is 5 then find value of x

Answer 1

arrange in ascending order x/2,x/3,x/4,x/6,x/8,x/9
n=no.of observation
n=6 which is an even no.
so median={n/2th observation+n/2+1th observation}/2
5={6/2th observation+6/2+1th observation}/2
5 ={3rd observation+4th observation}/2
5=x/4+x/6
5={6x+4x}/24
5 =10x/24
5×24=10x
120=10x
x=120/10=12


value of x=12

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