Doctor 2

A doctor noted the Diastolic Blood Pressure (DBP) of a large number of patients. Later, he scrambled the data to keep the privacy of his patients. Based on the scrambled dataset, he finds that the lower inner fence is equal to 50 and the upper inner fence is equal to 100. Find the IQR value, which is defined as the difference between the third quartile and the first quartile.

Correct result:

i =  12.5

Solution:

a - 1.5•i = 50
b + 1.5•i = 100
i = b-a

a-1.5i = 50
b+1.5i = 100
a-b+i = 0

a = 275/4 = 68.75
b = 325/4 = 81.25
i = 25/2 = 12.5

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Dr Math

Little help:

lower inner fence: Q1 - 1.5*IQR
upper inner fence: Q3 + 1.5*IQR
lower outer fence: Q1 - 3*IQR
upper outer fence: Q3 + 3*IQR

in example Q1=a, Q3 = b , IQR = i

3 years ago  Like

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