Question

consider the data of categories and groups. what are the relative frequencies of the rows and columns? enter the frequencies in the boxes. relative frequencies of the rows group 1 group 2 category a 4 4 category b 3 5 category c 6 4 group 1 group 2 category a \square \square category b \square \square category c \square \square

Explanation:

Step1: Calculate total for Category A

Sum of values in Category A: \(4 + 4 = 8\)

Step2: Relative frequency for Category A, Group 1

Divide Group 1 value by total: \(\frac{4}{8} = 0.5\)

Step3: Relative frequency for Category A, Group 2

Divide Group 2 value by total: \(\frac{4}{8} = 0.5\)

Step4: Calculate total for Category B

Sum of values in Category B: \(3 + 5 = 8\)

Step5: Relative frequency for Category B, Group 1

Divide Group 1 value by total: \(\frac{3}{8} = 0.375\)

Step6: Relative frequency for Category B, Group 2

Divide Group 2 value by total: \(\frac{5}{8} = 0.625\)

Step7: Calculate total for Category C

Sum of values in Category C: \(6 + 4 = 10\)

Step8: Relative frequency for Category C, Group 1

Divide Group 1 value by total: \(\frac{6}{10} = 0.6\)

Step9: Relative frequency for Category C, Group 2

Divide Group 2 value by total: \(\frac{4}{10} = 0.4\)

Answer:

Relative Frequencies of the Rows:

• Category A: Group 1 \(0.5\), Group 2 \(0.5\)
• Category B: Group 1 \(0.375\), Group 2 \(0.625\)
• Category C: Group 1 \(0.6\), Group 2 \(0.4\)