Question

consider the data of categories and groups.
what are the relative frequencies of the rows and columns?
enter the frequencies in the boxes as fractions.

relative frequencies of the rows

relative frequencies of the columns

	group 1	group 2
category b	19	16

	group 1	group 2
category b	\square	\square

	group 1	group 2

Explanation:

Step1: Calculate total for each row

For Category A: \(14 + 21 = 35\)
For Category B: \(19 + 16 = 35\)

Step2: Relative frequencies for rows (Category A)

Group 1: \(\frac{14}{35} = \frac{2}{5}\)
Group 2: \(\frac{21}{35} = \frac{3}{5}\)

Step3: Relative frequencies for rows (Category B)

Group 1: \(\frac{19}{35}\)
Group 2: \(\frac{16}{35}\)

Step4: Calculate total for each column

Group 1: \(14 + 19 = 33\)
Group 2: \(21 + 16 = 37\)

Step5: Relative frequencies for columns (Category A)

Group 1: \(\frac{14}{33}\)
Group 2: \(\frac{21}{37}\)

Answer:

Relative Frequencies of the Rows

	Group 1	Group 2
Category B	\(\frac{19}{35}\)	\(\frac{16}{35}\)

Relative Frequencies of the Columns (for Category A)

	Group 1	Group 2