Chapter 11.4, Problem 13E

To determine

To complete the given two-way table.

Answer to Problem 13E

The joint frequency of freshmen who travelled on an airplane is 90.

The joint frequency of sophomores who have not travelled in an airplane is 16.

The marginal frequency of freshmen is 152.

The marginal frequency of sophomores is 200.

The marginal frequency of class who have not travelled in an airplane is 78.

Explanation of Solution

Given information :

The two-way table regarding freshmen and sophomores who have and have not travelled in an airplane.

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.

  $274-184=90$

The joint frequency of freshmen who travelled on an airplane is 90.

  $200-184=16$

The joint frequency of sophomores who have not travelled in an airplane is 16.

  $90+62=152$

The marginal frequency of freshmen is 152.

  $350-152=200$

The marginal frequency of sophomores is 200.

  $16+62=78$

The marginal frequency of class who have not travelled in an airplane is 78.