Answer:
Interquartile Range = 90.5
Step-by-step explanation:
We are given the following data set for which we have to find its interquartile range:
[tex]120,140,150,195,203,226,245,280[/tex]
Since we have an even number data set here so dividing the data set into two halves and taking the average of two middle values for each date set to find [tex]Q_1[/tex] and [tex]Q_3[/tex].
[tex]Q_1=\frac{140+150}{2} =145[/tex]
[tex]Q_3= \frac{226+245}{2}=235.5[/tex]
Interquartile Range [tex](Q_3-Q_1) = 235.5-145[/tex] = 90.5
