1. **State the problem:** We have two dot plots showing the number of migrating geese flocks observed by 25 participants on Day 1 and Day 2. We want to find the mean (average) number of flocks observed each day to make an inference. 2. **Recall the formula for the mean:** $$\text{Mean} = \frac{\sum (\text{value} \times \text{frequency})}{\text{total number of observations}}$$ 3. **Count frequencies for Day 1:** - 2 flocks: 2 observations - 3 flocks: 3 observations - 4 flocks: 5 observations - 5 flocks: 6 observations - 6 flocks: 5 observations - 7 flocks: 4 observations 4. **Calculate the sum of values times frequencies for Day 1:** $$2 \times 2 + 3 \times 3 + 4 \times 5 + 5 \times 6 + 6 \times 5 + 7 \times 4 = 4 + 9 + 20 + 30 + 30 + 28 = 121$$ 5. **Calculate the mean for Day 1:** $$\text{Mean}_{Day1} = \frac{121}{25} = 4.84$$ 6. **Count frequencies for Day 2:** - 2 flocks: 5 observations - 3 flocks: 7 observations - 4 flocks: 8 observations - 5 flocks: 5 observations - 6 flocks: 0 observations - 7 flocks: 0 observations 7. **Calculate the sum of values times frequencies for Day 2:** $$2 \times 5 + 3 \times 7 + 4 \times 8 + 5 \times 5 = 10 + 21 + 32 + 25 = 88$$ 8. **Calculate the mean for Day 2:** $$\text{Mean}_{Day2} = \frac{88}{25} = 3.52$$ 9. **Inference:** On average, participants observed about 4.84 flocks on Day 1 and 3.52 flocks on Day 2. This suggests more flocks were observed on Day 1 than Day 2.