OneWay Tables in Statistics
A oneway table is the tabular equivalent of a
bar chart.
Like a bar chart, a oneway table displays categorical data in the form of
frequency counts
and/or
relative frequencies.
A oneway table is distinguished from a twoway table (described in the
next lesson);
because the data entries in a oneway table
refer to one variable, whereas the data entries in a twoway
table refer to two variables.
Frequency Tables
When a oneway table shows frequency counts for a particular
category of a categorical variable, it is called a
frequency table.
Below, the bar chart and the frequency table display the same data.
Both show frequency counts, representing travel choices of
10 travel agency clients.


Choice 
USA 
Europe 
Asia 
Frequency 
5 
3 
2 

Relative Frequency Tables
When a oneway table shows relative frequencies (i.e., percentages or proportions)
for particular
categories of a categorical variable, it is called a
relative frequency table.
Each of the tables below summarizes data from the bar chart above.
Both tables are relative frequency tables. The table on the left
shows relative frequencies as a proportion, and the table on the
right shows relative frequencies as a percentage.
Choice 
USA 
Europe 
Asia 
Proportion 
0.5 
0.3 
0.2 


Choice 
USA 
Europe 
Asia 
Percentage 
50 
30 
20 

Test Your Understanding of This Lesson
Problem
Twenty first graders were asked which color they liked best  red,
green, or blue. Their responses appear below.
red, green, green, blue, red, blue, red, red, blue, red
red, blue, red, red, blue, red, blue, green, green, red
Which of the following oneway tables correctly summarizes responses from
the first graders?
Choice 
Red 
Green 
Blue 
Frequency 
0.5 
0.2 
0.3 
I


Choice 
Red 
Green 
Blue 
Proportion 
50 
20 
30 
II


Choice 
Red 
Green 
Blue 
Percentage 
10 
4 
6 
III

(A) I only
(B) II only
(C) III only
(D) None of the above.
(E) All of the above.
Solution
The correct answer is (D). None of the frequency tables is labeled
correctly. Option I shows proportions, but the label says
"Frequency". Option II shows percentages, but the label says
"Proportion". And finally, Option III shows frequencies, but the
label says "Percentage".