the following 10 observations are arranged in the ascending order as follows 2,3,5,9,x+1,x+3,14,16,19,20 if the median of the data is 11,find the value of x
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Hey!
If n=10(even no.)
so,
median={n/2)}th terms+{n+1/2}th terms/2
11. ={10/2}th terms+{10+1/2}th terms/2
11={5}th terms+{6}th terms/2
11=x+1+x+3/2
by croos multipley
so,
22=2x+4
=)2x =22-4
=)2x=18
=)x=9
If n=10(even no.)
so,
median={n/2)}th terms+{n+1/2}th terms/2
11. ={10/2}th terms+{10+1/2}th terms/2
11={5}th terms+{6}th terms/2
11=x+1+x+3/2
by croos multipley
so,
22=2x+4
=)2x =22-4
=)2x=18
=)x=9
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