The cell that contains 28 joins female and cat. Explain the context of the joint frequency cel Animals vs. Gender

Question

Dog
Cat
Total
Male
32
8
40
Female
11
28
39
Total
43
36
79
(1 point)
• Twenty-eight of the cats in the distribution are female.
• In the distribution of cats, 8 are female.
Twenty-eight of the dogs in the distribution are female.
Twenty-eight animals in the distribution are female dogs and cats.

Answer 1

In the context of the joint frequency table you’ve provided—which categorizes animals by type (Dog vs. Cat) and gender (Male vs. Female)—the cell that contains the number "28" corresponds specifically to the category of "Female Cats."

This joint frequency indicates that there are 28 female cats in the distribution. Here's a breakdown of the situation based on the provided table:

1. Animals: The two types of animals in the table are Dogs and Cats.
2. Gender: The two gender categories are Male and Female.

Explanation of the Provided Options:

1. Twenty-eight of the cats in the distribution are female.

   • This statement is correct. It directly reflects what the cell value of "28" represents.

2. In the distribution of cats, 8 are female.

   • This statement is incorrect. The number of 8 actually refers to the male cats in the table.

3. Twenty-eight of the dogs in the distribution are female.

   • This statement is also incorrect. The table indicates that there are 11 female dogs, not 28.

4. Twenty-eight animals in the distribution are female dogs and cats.

   • This statement is misleading. While there are 28 female cats, the total number of female animals (Dogs + Cats) is 39 (11 Female Dogs + 28 Female Cats).

Conclusion:

Thus, the accurate interpretation of the value "28" in the context of the joint frequency table is that there are 28 female cats in the distribution.