The distribution of the data is skewed to the right due to the higher number of dots at lower numbers, making the median a more appropriate measure of center than the mean.
To calculate the mean:
Total number of siblings = \( (0 \times 4) + (1 \times 5) + (2 \times 3) + (3 \times 4) + (4 \times 2) + (5 \times 0) + (6 \times 1) + (7 \times 2) + (8 \times 0) + (9 \times 0) + (10 \times 1) = 0 + 5 + 6 + 12 + 8 + 0 + 6 + 14 + 0 + 0 + 10 = 61 \)
Total number of classmates = \( 4 + 5 + 3 + 4 + 2 + 0 + 1 + 2 + 0 + 0 + 1 = 22 \)
Mean = \( \frac{61}{22} \approx 2.77 \)
To find the median, we list the number of siblings based on the dots: 0 (4), 1 (5), 2 (3), 3 (4), 4 (2), 6 (1), 7 (2), 10 (1). The 11th and 12th values in the ordered list (when counted) are 2 and 3, so:
Median = \( \frac{2 + 3}{2} = 2.5 \)
In summary, the mean is approximately 2.77, the median is 2.5, and the best measure of center for the number of siblings is the median.