1. **State the problem:** We have counts of different animal categories: mammals (32), birds (16), amphibians (8), reptiles (8), fish (12), and invertebrates (4). We need to verify which statements about these counts are true. 2. **Check statement 1:** "They listed an equal number of amphibians and reptiles." - Amphibians = 8 - Reptiles = 8 - Since both are equal, this statement is **true**. 3. **Check statement 2:** "There are more mammals on the list than birds and fish combined." - Birds + Fish = 16 + 12 = 28 - Mammals = 32 - Since 32 > 28, this statement is **true**. 4. **Check statement 3:** "The modes of the data are amphibians and reptiles." - Mode is the value(s) that appear most frequently. - Counts: 32, 16, 8, 8, 12, 4 - The highest count is 32 (mammals), so the mode is mammals only. - Amphibians and reptiles both have 8, which is not the highest. - This statement is **false**. 5. **Check statement 4:** "A quarter of the animals they listed are either amphibians or fish." - Total animals = 32 + 16 + 8 + 8 + 12 + 4 = 80 - Amphibians + Fish = 8 + 12 = 20 - One quarter of total = $\frac{1}{4} \times 80 = 20$ - Since 20 = 20, this statement is **true**. **Final answers:** - True: Statements 1, 2, and 4 - False: Statement 3