Here, there are 10 numbers, first we have to range the numbers less to greater.
7 ; 8 ; 9 ; 10 ; 11 ; 12 ; 14 ; 15 ; 15 ; 16

so Q1 is the third term. Q1 = 9.

So Q3 is the 8th term. Q3 = 15.

In short,
interquartile range of this data set is 6 ( option A) ).
Hope this helps !
Photon