Given the following set of data, what is twice the interquartile range? 25,32,49,21,37,43,27,45,31
Answers
Answer:
following set of data interquartile range.
Given : 25,32,49,21,37,43,27,45,31
To Find : twice the interquartile range
Solution:
25,32,49,21,37,43,27,45,31
Arrange Data in order
21 , 25 , 27 , 31 , 32 , 37 , 43 , 45 , 49
Quartile : 1st Quartile (n+1)/4 if n odd or n/4 if n even
3rd Quartile 3(n+1)/4 if n odd or 3n/4 if n even
n = 9 Here
1st Quartile = (9 + 1)/4 = 2.5 Hence mean of 2nd and 3rd term
(25 + 27)/2 = 26
3rd Quartile = 3(9 + 1)/4 = 7.5 Hence mean of 7th and 8th term
(43 +45)/2 = 44
IQR = 3rd Quartile - 1st Quartile
= 44 - 26
= 18
twice the interquartile range = 2 * 18 = 36
Hence twice the interquartile range is 36
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