Question

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
category b	\\(\square\\)	\\(\square\\)

Explanation:

Step1: Calculate total for each row (Row Totals)

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

Step2: Relative Frequencies of Rows (each cell / row total)

• Category A, Group 1: \(\frac{14}{35} = \frac{2}{5}\)
• Category A, Group 2: \(\frac{21}{35} = \frac{3}{5}\)
• Category B, Group 1: \(\frac{19}{35}\)
• Category B, Group 2: \(\frac{16}{35}\)

Step3: Calculate total for each column (Column Totals)

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

Step4: Relative Frequencies of Columns (each cell / column total)

• Category A, Group 1: \(\frac{14}{33}\)
• Category A, Group 2: \(\frac{21}{37}\)
• Category B, Group 1: \(\frac{19}{33}\)
• Category B, Group 2: \(\frac{16}{37}\)

Answer:

Relative Frequencies of the Rows

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

Relative Frequencies of the Columns

	Group 1	Group 2
Category B	\(\frac{19}{33}\)	\(\frac{16}{37}\)