Question

A semiconductor manufacturer produces devices used as central processing units in personal computers. The speed of the devices (in megahertz) is important because it determines the price that the manufacturer can charge for the devices. A boxplot for the speeds of 116 randomly selected devices is given below. Using only the boxplot, what is the approximate interquartile range of speeds

Answer 1

`IQR = 38`

Explanation:

Given

See attachment for box plot

Required

The interquartile range (IQR)

This is calculated using:

`IQR = Q_3 - Q_1`

On the second attachment, I identify the positions of Q1 and Q3 respectively;

`Q_1= 662`

`Q_3 = 700`

So:

`IQR = 700 - 662`

`IQR = 38`

The interquartile range is 38