How do you find the range and interquartile range for 37, 19, 13, 11, 10?

Willow Pratt

Willow Pratt

Answered

2022-07-05

How do you find the range and interquartile range for 37, 19, 13, 11, 10?

Answer & Explanation

Kayley Jackson

Kayley Jackson

Expert

2022-07-06Added 16 answers

Let us first arrange them in increasing order and data appears as
10, 11, 13, 19, 37
As the range is difference between maximum and nimimum
Range is 37-10=27
Median is the value of ( n + 1 2 ) t h term i.e. 5 + 1 2 = 3 r d term i.e. 13
First quartile Q 1 is ( n + 1 4 ) t h = ( 1 1 2 ) t h term and third quartile Q 3 is
3 ( n + 1 4 ) t h = ( 4 1 2 ) t h term.
Hence, we can take Q 1 as 10 + 11 2 = 10 1 2 and Q 3 as 19 + 37 2 = 28
As interquartile range is Q 3 Q 1 , it is 28 10 1 2 = 17 1 2

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