Chapter 11.4, Problem 14E

To determine

To complete the given two-way table.

Answer to Problem 14E

The marginal frequency of males is 84.

The joint frequency of males who don’t plan to attend school dance is 46.

The joint frequency of females who plan to attend school dance is 88.

The marginal frequency of people who plan to attend school dance is 126.

The marginal frequency of people who don’t plan to attend school dance is 70.

Explanation of Solution

Given information :

The two-way table regarding males and females to plan or don’t plan to attend school dance.

Formula used :

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.

To find the missing data in a two-way table, use the combination of marginal frequency, joint frequencies and the grand total of the joint frequencies.

Calculation :

On analyzing the given two-way table.

  $196-112=84$

The marginal frequency of males is 84

  $84-38=46$ .

The joint frequency of males who don’t plan to attend school dance is 46.

  $112-24=88$

The joint frequency of females who plan to attend school dance is 88.

  $88+38=126$

The marginal frequency of people who plan to attend school dance is 126.

  $196-126=70$

The marginal frequency of people who don’t plan to attend school dance is 70.