Question

Find the value of 3x+1, if median of 2, 3, x, x+2, 11, 17 is 9. (the observation are arranged in ascending order of magnitude.)

Answer 1

since,the total no. of observation=6,which is even.let n=6
so,median=(n/2)th+(n+1/2)th/2
=3th+4th/2=9
=x+x+2=9
=2x+2=9
=2x=7
=x=7/2=3.5
so,3x+1=(3×3.5)+1
=10.5+1
=11.5

Answer 2

since,the total no. of observation=6,which is even.let n=6

so,median=(n/2)th+(n+1/2)th/2

=3th+4th/2=9

=x+x+2=9

=2x+2=9

=2x=7

=x=7/2=3.5

so,3x+1=(3×3.5)+1

=10.5+1

=11.5

pls mark brainiest