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Answer :
The Interquartile range of the given set is 1.5.
What is Interquartile range ?
The variation between the third and first quartiles is defined by the interquartile range. The numbers that partition the entire series into four equal sections are known as quartiles. There are therefore 3 quartiles. The lower quartile is represented by the letter Q₁, the higher quartile by the letters Q₁, and the middle quartile by the letter Q₃.
Given set : 81, 82, 83, 83, 84, 84, 84, 85
Here, It is already in increasing order but the number of values is 8 which is even.
So, Q₁ part = 81, 82, 83, 83
Q₁ will be the median of 82 and 83.
So, Q₁ = (82+83)/2
= 82.5
Similarly, Q₃ part =84, 84, 84, 85
So, Q₃ will be the median of 84 and 84.
hence, Q₃ = (84+84)/2
= 84
We know that, Interquartile range = Q₃ - Q₁
= 84 - 82.5
= 1.5
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