The interquartile range of the data set is 7.
Step-by-step explanation:
The given set of data is {18 , 17 , 10 , 25 , 20 , 20 , 30 , 18 , 18 , 30 , 25}
Arrange the data in ascending order:
10 , 17 , 18 , 18 , 18 , 20 , 20 , 25 , 25 , 30 , 30
Divide the data in two equal parts:
(10 , 17 , 18 , 18 , 18), 20 ,(20 , 25 , 25 , 30 , 30)
Divide each parenthesis in 2 equal parts:
(10 , 17), 18 ,(18 , 18), 20 ,(20 , 25), 25 ,(30 , 30)
Now we can say that,
Q₁ = 18 , Median = 20 , Q3 = 25
Interquartile rage of a data is :
I.Q.R. = Q3 - Q1
I.Q.R. = 25-18 = 7
Therefore the interquartile range of the data set is 7.
