To analyze the results of Anna's poll, we need to calculate the total number of classmates who participated, the total number of pets they own, and the mean number of pets per classmate.
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Total Classmates:
- Count the number of classmates who responded:
- 0 pets: 3 classmates
- 1 pet: 4 classmates
- 2 pets: 2 classmates
- 3 pets: 6 classmates
- 4 pets: 2 classmates
- 5-10 pets: none (0 classmates)
- 9 pets: 1 classmate
Now, we can add these numbers: \[ 3 + 4 + 2 + 6 + 2 + 0 + 1 = 18 \] So, 18 classmates responded to the poll.
- Count the number of classmates who responded:
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Total Pets:
- We calculate the total number of pets by multiplying the number of classmates by the number of pets they have: \[ (0 \times 3) + (1 \times 4) + (2 \times 2) + (3 \times 6) + (4 \times 2) + (5 \times 0) + (6 \times 0) + (7 \times 0) + (8 \times 0) + (9 \times 1) + (10 \times 0) \]
Calculating each part:
- 0 pets: \(0 \times 3 = 0\)
- 1 pet: \(1 \times 4 = 4\)
- 2 pets: \(2 \times 2 = 4\)
- 3 pets: \(3 \times 6 = 18\)
- 4 pets: \(4 \times 2 = 8\)
- 5-10 pets: \(0\) pets
Now, adding them together: \[ 0 + 4 + 4 + 18 + 8 + 0 + 0 + 0 + 0 + 9 + 0 = 43 \] So, the total number of pets is 43.
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Mean Number of Pets:
- The mean number of pets can be calculated by dividing the total number of pets by the total number of classmates: \[ \text{Mean} = \frac{\text{Total pets}}{\text{Total classmates}} = \frac{43}{18} \approx 2.388888... \] Rounding this to the nearest tenth:
- This rounds to 2.4.
In conclusion:
- Total classmates who responded: 18
- Total pets: 43
- Mean number of pets per classmate: 2.4