Question

the following data have been arranged in asendung order of their values 19,20,36,46,50,x-2, x+4,59,70,80,83,88.if the median is 57 find x​

Answer 1

Total no of observation=12 ,which is even

Median=1/2(n/2+n+1/2th observation)

57=1/2(6th observation +7th observation)

57=1/2(x-2+x+4)

57=1/2(2x+2)

57=2x/2+2/2

57=x+1

x=56