IQR for the data {1, 3, 4, 8, 20} is 5.
Interquartile Range(IQR) for a data is defined as the difference between third quartile and first quartile.
denoted by IQR=Q₃-Q₁ (Q₃ is third quartile and Q₁ is first quartile)
The five number summary of a data set is represented as
{minimum, first quartile , second quartile , third quartile , maximum}..…(1)
According to the question
{1, 3, 4, 8, 20}
On comparing it with equation …(1)
minimum=1
Q₁ =3 , Q₂=4 , Q₃=8 , maximum =20
IQR=Q₃-Q₁
Substituting the values we get
IQR=8-3=5.
Therefore , Interquartile Range for the data {1, 3, 4, 8, 20} is 5.
Learn more about Inter Quartile Range here brainly.com/question/28037049
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