Chapter 11, Problem 4CT

a.

To determine

To explain: Whether the given statement is always, sometimes or never true.

Answer to Problem 4CT

Always true.

Explanation of Solution

Given Information: Given statement is: “The sum of the marginal relative frequencies in the total row and the total column of a two-way-table should be each equal to $1$ ”.

The given statement is always true. Because each marginal relative frequency represents a part of the total and total is same either column-wise or row-wise.

b.

To determine

To explain: Whether the given statement is always, sometimes or never true.

Answer to Problem 4CT

Sometimes true.

Explanation of Solution

Given Information: Given statement is: “In a box-and-whisker plot, the length of the box to the left of the median and the length of the box to the right of the median are equal”.

The given statement is sometimes true. The length of the box to the left and to the right depends on the placement of median in the box, median may also acquire a position other than the center of the box.

c.

To determine

To explain: Whether the given statement is always, sometimes or never true.

Answer to Problem 4CT

Sometimes true.

Explanation of Solution

Given Information: Given statement is: “Qualitative data are numerical”.

The given statement is sometimes true. Qualitative data may take numeric form but doesn’t have numeric properties, it cannot be used in making measurements or comparisons.