What is the interquartile range of this data set?

10, 12, 16, 9, 8, 15, 15, 7, 11, 14
a)6
b)7
c)12
d)17

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