Question

pets in a group of 150 people, each person has a dog, a cat, or a bird. the frequency table shows how many people have each kind of pet. complete a relative frequency table to show the distribution of the data with respect to all 150 people. complete the table.

Explanation:

Step1: Calculate relative frequency for Men with Dog

Relative frequency = \(\frac{\text{Frequency}}{\text{Total}}\times100\%\). For Men with Dog: \(\frac{37}{150}\times100\% \approx 24.7\%\)

Step2: Calculate relative frequency for Women with Dog

For Women with Dog: \(\frac{38}{150}\times100\%\approx 25.3\%\)

Step3: Calculate relative frequency for Total with Dog

For Total with Dog: \(\frac{75}{150}\times100\% = 50.0\%\)

Step4: Calculate relative frequency for Men with Cat

For Men with Cat: \(\frac{23}{150}\times100\%\approx 15.3\%\)

Step5: Calculate relative frequency for Women with Cat

For Women with Cat: \(\frac{25}{150}\times100\%\approx 16.7\%\)

Step6: Calculate relative frequency for Total with Cat

For Total with Cat: \(\frac{48}{150}\times100\% = 32.0\%\)

Step7: Calculate relative frequency for Men with Bird

For Men with Bird: \(\frac{13}{150}\times100\%\approx 8.7\%\)

Step8: Calculate relative frequency for Women with Bird

For Women with Bird: \(\frac{14}{150}\times100\%\approx 9.3\%\)

Step9: Calculate relative frequency for Total with Bird

For Total with Bird: \(\frac{27}{150}\times100\% = 18.0\%\)

Step10: Calculate relative frequency for Total Men

For Total Men: \(\frac{73}{150}\times100\%\approx 48.7\%\)

Step11: Calculate relative frequency for Total Women

For Total Women: \(\frac{77}{150}\times100\%\approx 51.3\%\)

Answer:

Pets	Men	Women	Total
Cat	\(15.3\%\)	\(16.7\%\)	\(32.0\%\)
Bird	\(8.7\%\)	\(9.3\%\)	\(18.0\%\)
Total	\(48.7\%\)	\(51.3\%\)	\(100\%\)