Standard deviation is unaffected by adding a constant. Therefore, new SD = 5.

Variance is the square of the standard deviation. Therefore, variance = 5² = 25.

Possible outcomes for sum = 7 are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6 outcomes. Total outcomes = 6 * 6 = 36. Probability = 6/36 = 1/6.

Mean = (4 + 8 + 6 + 5 + 3) / 5 = 26 / 5 = 5.2, rounded down to 5.

First, arrange the data in ascending order: 10, 12, 14, 15, 18. The median is the middle value, which is 14.

The numbers are in order. The median is the 4th number, which is 40.

Arranging the numbers: 18, 20, 22, 25, 30. The median is the middle number, which is 22.

Arrange the numbers: 3, 5, 7, 8, 10, 12. The median is the average of the 3rd and 4th numbers: (7 + 8) / 2 = 7.5.

To find the median, first arrange the numbers in ascending order: 1, 3, 5, 7, 9. The median is the middle number, which is 5.

Arranging the numbers: 1, 2, 3, 4, 7, 9. The median is the average of the 3rd and 4th numbers: (3 + 4) / 2 = 3.5.

Mode is the number that appears most frequently. Here, 2 appears 3 times.

Mode is the number that appears most frequently. Here, 5 appears 3 times.

The number 4 appears most frequently (3 times). Hence, mode = 4.

The mode is the number that appears most frequently. Here, 4 appears 3 times, so the mode is 4.

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

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.

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 + 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.