Chapter 11.4, Problem 3E

To determine

To define the relationship between joint relative frequencies, marginal relative frequencies and conditional relative frequencies.

Answer to Problem 3E

A joint relative frequency is the ratio between the ‘non-total’ joint frequency of a certain category to the total number of frequencies.

The ratio of summation of the joint frequencies of either a row or a column in a two-way table to the total number of frequencies is known as marginal relative frequencies.

The ratio of a joint relative frequency to the marginal relative frequency is know as the conditional relative frequency.

Explanation of Solution

Given information:

The joint relative frequency, marginal relative frequency and the conditional relative frequency.

Two-way tables are frequency tables that depict data of two categories, but are gathered from the same source. The entries in a two table are such that they represent data of the rows as well as the columns.

Joint relative frequency is the ratio of any non-total joint frequency to the sum total of the frequencies in the table.

Whereas, the sum of joint relative ratios found out of a certain row or column to the total number of frequencies of the table is known as marginal relative frequency.

When the above two ratios are divided, keeping the joint relative frequency in the numerator and the marginal relative frequency in the denominator, it is known as conditional relative frequency.