A one-way table is distinguished from a two-way table (described in the next lesson); because the data entries in a one-way table refer to one variable, whereas the data entries in a two-way table refer to two variables.
When a one-way 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.
Relative Frequency Tables
When a one-way 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. One table shows relative frequencies as a proportion, and the other table shows relative frequencies as a percentage.
Test Your Understanding
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 one-way tables correctly summarizes responses from the first graders?
(A) Table I only
(B) Table II only
(C) Table III only
(D) None of the above.
(E) All of the above.
The correct answer is (D). None of the frequency tables is labeled correctly. Table I shows proportions, but the label says "Frequency". Table II shows percentages, but the label says "Proportion". And finally, Table III shows frequencies, but the label says "Percentage".