Chapter 10.3, Problem 24E

To determine

To explain:

The advantages and disadvantages of two way tables and Venn diagrams

Answer to Problem 24E

Venn diagram is diagram which representing the logical or mathematical sets pictorially as closed curved or circles within enclosing the rectangle, common set elements are represented by intersections of the circles.

The two way tables are the frequency table displays the data collected from one source belongs to two different categories.

Explanation of Solution

The two way tables are the frequency table displays the data collected from one source belongs to two different categories.

The category of the data is represented by the columns and other is represented by the rows. Consider two way tables are as follow:

	Exceed Expectations	Meet Expectations	Total
Route $A$	$7$	$4$	$11$
Route $B$	$11$	$3$	$14$
Route $C$	$12$	$4$	$16$
Total	$30$	$11$	$41$

Table: Two way table

Column gives the number of the trains that are one time and trains which are too late. Row shows the number of the trains travelling through route $A$ , route $B$ , and route $C$ .

Venn diagram is diagram which representing the logical or mathematical sets pictorially as closed curved or circles within enclosing the rectangle, common set elements are represented by intersections of the circles.

  

Venn diagram

The Venn diagram is shown as above.