Question 1: Calculate the range of the data set: 12, 7, 15, 9, 11.

Answer: 8

Question 2: Find the maximum and minimum values in the set: 23, 17, 21, 19, 25.

Answer: {"max":"25","min":"17","range":"8"}

Question 3: What is the range of the numbers 4, 4, 4, 4, 4?

Answer: 0

Question 4: Calculate the maximum and minimum values in 35, 42, 29, 33, 41.

Answer: {"max":"42","min":"29","range":"13"}

Question 1: A class has test scores: 68, 75, 80, 72, 78. Find the range and explain what it tells you about the scores.

Answer: Range = 80 - 68 = 12. It shows the spread of scores from the lowest to the highest.

Question 2: The ages of students in a club are 13, 15, 14, 16, 13. Calculate the range and interpret it.

Answer: Range = 16 - 13 = 3. It indicates that the ages are quite close, with a difference of 3 years.

Question 3: A survey recorded the number of books read by students in a month: 2, 5, 3, 7, 4. Find the range.

Answer: 5

Question 4: In a set of test scores: 90, 85, 88, 92, 87, what is the range?

Answer: 7

Question 5: A sports team’s points over five games are: 45, 50, 55, 40, 60. Find the range.

Answer: 20

Question 1: A data set has the maximum value of 120 and the minimum value of 45. If the range is increased to 80 by changing some data points, what are the possible new maximum and minimum?

Answer: Max could be 125 and Min 45, or Max 120 and Min 40, etc., as long as their difference is 80.

Question 2: Construct a set of five numbers with a range of 15, where the minimum is 10.

Answer: Example: 10, 22, 18, 25, 15.

Question 1: A student calculated the range as 20 for the data set: 10, 15, 20, 25, 30. Is this correct? If not, what mistake did they make?

Answer: Yes, it is correct. The maximum is 30, the minimum 10, so range = 20. No mistake.

Question 2: A student miscalculated the range as 15 for the data set: 5, 10, 15, 20, 25. What was the mistake?

Answer: They possibly subtracted 15 from 5, or made an error in identifying max and min.