Chapter 4, Problem 24E

(a)

To determine

To Explain: the spread in distance on the basis of the quartiles and the standard deviation.

Explanation of Solution

Given:

  $\begin{array}{l}\text{standard}\text{deviation}=9.3\text{yards}\\ Q_1=282\text{yards}\\ Q_3=294\text{yards}\end{array}$

Quartile: the middle 50% of the golfers can hit between 282 and 294 yards, for a 12 yard range. Standard deviation: in general, the centre range of golfers can hit within 9.3 yards of each other. These are general definitions of quartile and standard deviation.

(b)

To determine

To Explain: the about of spread.

Explanation of Solution

Given:

  $\begin{array}{l}\text{standard}\text{deviation}=9.3\text{yards}\\ Q_1=282\text{yards}\\ Q_3=294\text{yards}\end{array}$

NO

The data appears very close to a normal distribution. Both quartiles and standard deviations are proper.