The two-way column relative frequency table is,
Medicine taken Medicine not taken
cold length (≥ 7 days) 0.24 0.69
cold length (< 7 days) 10.76 0.31
Total 1.00 1.00
What is two-way frequency table?
- "It is a way to display frequencies for two categorical variables."
- "One category is represented by rows and a second category is represented by columns."
What is two-way relative frequency table?
"It is a way to display relative frequencies (percentages or ratios), instead of just frequency counts."
For given example,
we have been given a two-way frequency table on whether medicine was taken and cold length.
We need to find the column relative frequency table.
First we find the total of each column.
Medicine taken Medicine not taken
cold length (≥ 7 days) 6 27
cold length (< 7 days) 19 12
Total 25 39
Now, divide each element of column by its respective total.
Medicine taken Medicine not taken
cold length (≥ 7 days) 6/25 27/39
cold length (< 7 days) 19/25 12/39
Total 25/25 39/39
Therefore, the two-way column relative frequency table would be,
Medicine taken Medicine not taken
cold length (≥ 7 days) 0.24 0.69
cold length (< 7 days) 10.76 0.31
Total 1.00 1.00
Learn more about relative frequency table here:
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