The mode is 4, as it appears 2 times, which is more than any other number.

The mode is 5, as it appears 3 times, more than any other number.

The mode is 6, which appears 3 times in the data set.

The mode is 3, as it appears most frequently (three times) in the data set.

There are 13 hearts in a deck of 52 cards. Probability = 13/52 = 1/4.

Range = Maximum - Minimum = 12 - 3 = 9

All values are the same, so variance = 0.

Mean = (1 + 2 + 3 + 4 + 5 + 6) / 6 = 3.5. Variance = [(1-3.5)² + (2-3.5)² + (3-3.5)² + (4-3.5)² + (5-3.5)² + (6-3.5)²] / 6 = 2.92 (approx 2.5).

Mean = 5. Variance = [(2-5)² + (4-5)² + (4-5)² + (4-5)² + (5-5)² + (5-5)² + (7-5)² + (9-5)²] / 8 = 6.

All values are the same, so variance = 0.

Mean = (5 + 7 + 9 + 11) / 4 = 8. Variance = [(5-8)² + (7-8)² + (9-8)² + (11-8)²] / 4 = 4.

All values are the same, so variance = 0.

All values are the same, so variance = 0.

Variance of A = 0.67, B = 0, C = 12, D = 0. Thus, C has the highest variance.

Variance is always non-negative as it is calculated as the average of squared deviations from the mean.