Question

The length of songs in a collector's iTunes album collection, X, is uniformly distributed from 2 to 3.5 minutes. Suppose we randomly pick 60 songs:

a) Find the first quartile for the average song length

b) What is the IQR for the average song length

Answer 1

a)

Or, x = -0.67 * 0.433/ + 2.75

Or, x = 2.713

So the first quartile is = 2.713

b)

Or, x = 0.67 * 0.433/ + 2.75

Or, x = 2.787

So the third quartile is = 2.787

IQR = Q3 - Q1 = 2.787 - 2.713 = 0.074