Chapter 11.4, Problem 11E

To determine

To find and interpret the marginal frequencies.

Answer to Problem 11E

The marginal frequency of freshmen is 222.

The marginal frequency of sophomores is 192.

The marginal frequency who are yes to participate in spirit week is 204.

The marginal frequency who are no to participate in spirit week is 124.

The marginal frequency who are undecided to participate in spirit week is 86.

Explanation of Solution

Given information :

The two-way table regarding freshmen and sophomores who are yes, no or undecided to participate in the spirit week.

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.

On analyzing the two-way table, use marginal frequency who are freshmen.

  $112+56+54=222$

On analyzing the two-way table, use marginal frequency who are sophomores.

  $92+68+32=192$

On analyzing the two-way table, use marginal frequency who are yes to participate in the spirit week.

  $112+92=204$

On analyzing the two-way table, use marginal frequency who are no to participate in the spirit week.

  $56+68=124$

On analyzing the two-way table, use marginal frequency who are undecided to participate in the spirit week.

  $54+32=86$