Chapter 5, Problem 28E

To determine

To construct boxplot.

Explanation of Solution

Given:

  

Formula:

  $\begin{array}{l}Range=Highestvalue-Lowestvalue\\ IQR=Q_3-Q_1\end{array}$

First, we need to find Q1, median and Q3 from ogive curve.

  

Therefore,

  $\begin{array}{l}{Q}_1\approx 200\\ Median=230\\ Q_3\approx 270\\ So,\\ Range=450-75=375\\ IQR=270-200=70\end{array}$

Therefore, boxplot is,

  

The shape of the distribution is left-skewed. So, the cholesterol is between 75 and 450 mg/dL. The center is about 230 mg/dL. The spread is about 70 mg/dL.