Question

Saul decides to use the IQR to measure the spread of the data. Saul calculates the IQR of the data set to be 27 .

Saul asks Jasmine to check his work. Saul copies the data in numerical order from least to greatest for Jasmine.

25,30,50,50,50,50,56,n,250

What is the value of n that will make the IQR of the data set equal to 27?

Answer 1

N equals 78

The equation: (56+n)/2 - 40=27

Add 40 to 27=67

Multiply everything by 2 leaving you with 56+n=134

Subtract 56 from 134

Leaves you with n=78

If you plug it in you would get 67-40, which equals 27