Question

Calculate IQR(Inter Quartile Range) of {18, 24, 19, 16, 21}?

Answer 1

IQR = Q3(75%) - Q1(25%)

To find percentile = n*k/100 where n is the number of terms and k is the percentile

Here n is 5 .

Q3 = 5 * 75 / 100 = 3.75

Q1 = 5 * 25 / 100 = 1.25

So IQR = Q3 - Q1 = 3.75 - 1.25 = 2.50

Now to find the value, arrange all the numbers in the ascending order.

So order will be 16,18, 19, 21, 24 .

Now since we got IQR as 2.5, the next term will be 3 .

So IQR term is 19.