Question

What is the interquartile range of the data?
150, 165, 180, 198, 204, 216, 230, 225​

Answer 1

The answer is going to be 75

Answer 2

`{ \tt{interquartile \: range = (1)/(2) (q _(3) - q _(1) )}} \\`

• q3 is upper quatile

`{ \rm{q _(3) = (3)/(4) * n}} \\ \\ { \rm{q _(3) = (3)/(4) * 8 }} \\ \\ { \boxed{ \rm{q _(3) = 6 {}^(th) = 216 }}}`

`{ \rm{q _(1) = (1)/(4) * 8}} \\ \\ { \boxed{ \rm{q _(1) = 2 {}^(th) = 165}}}`

• n is number of terms:

→ therefore:

`{ \tt{interquatile \: range = (1)/(2) (216 - 165)}} \\ \\ { \tt{interquartile \: range = 25.5}}`