Question 1: Calculate the range of the data set: 12, 15, 17, 14, 16.

Answer: 5

Question 2: Given the stem-and-leaf diagram below, identify the smallest and largest data values and find the range. Stem | Leaves ---|--- 1 | 2 4 5 2 | 1 3 4 7 3 | 0 2

Answer: Smallest: 12, Largest: 37, Range: 25

Question 3: If a set of data has a minimum value of 8 and a maximum value of 22, what is the range?

Answer: 14

Question 4: A class records the following test scores: 65, 70, 72, 80, 85. Calculate the range of these scores.

Answer: 20

Question 5: Construct a stem-and-leaf diagram for the data: 23, 25, 28, 31, 33, 35, 37. Then determine the range.

Answer: Smallest: 23, Largest: 37, Range: 14

Question 6: A survey recorded ages of participants: 12, 14, 15, 16, 16, 17, 19. Find the data range.

Answer: 7

Question 7: A data set has a minimum of 5 and a maximum of 19. If the range is 15, what is the maximum value?

Answer: 20

Question 8: A set of test scores is: 55, 60, 65, 70, 75, 80. Calculate the range. Now, explain what the range tells you about the data.

Answer: Range: 25. It indicates the spread between the lowest and highest scores.

Question 9: Identify and correct the common mistake in calculating the range: Given data 10, 12, 15, 20, the student subtracts the smallest from the largest but gives the answer as 10. Is this correct? If not, what is the correct range?

Answer: No, the correct range is 20 - 10 = 10. The student's answer is correct, but they must verify the subtraction.

Question 10: Using the data set: 11, 13, 15, 17, 19, 21, find the range and interpret what this tells you about the data spread.

Answer: Range: 10. The data are spread over a span of 10 units.

Question 11: For the data: 22, 24, 26, 28, 30, 32, 34, find the range and construct a brief explanation of how the range helps in understanding data variation.

Answer: Range: 12. It shows the data varies over a 12-unit interval, indicating a moderate spread.