Question 1: The range of a data set is found by subtracting the smallest value from the largest value: Range = Max - Min. Understanding this helps us measure the spread of data. Pay attention to correctly identifying Max and Min values before calculating the range.

Answer:

Question 1: Calculate the range of the data set: 12, 7, 15, 9, 10.

Answer: 8

Question 2: Find the range of the following data: 3, 3, 3, 3, 3.

Answer: 0

Question 3: Data set: 45, 67, 52, 60, 45. What is the range?

Answer: 22

Question 1: A class recorded the number of books read per student as: 8, 12, 10, 15, 10. Calculate the range and explain which value is the Max and which is the Min.

Answer: Range = 15 - 8 = 7. Max = 15, Min = 8.

Question 2: The temperatures recorded over a week are: 22°C, 19°C, 25°C, 21°C, 20°C. Find the range and explain why identifying the correct Max and Min is crucial.

Answer: Range = 25 - 19 = 6. Correct Max = 25°C, Min = 19°C. Misidentifying these leads to incorrect range.

Question 1: A cyclist records their daily distances for a week: 15 km, 20 km, 18 km, 25 km, 22 km. Find the range of distances traveled.

Answer: Range = 25 - 15 = 10 km

Question 2: In a survey, students' ages are: 14, 15, 14, 16, 15, 17. What is the range? Why might a small range indicate a less diverse age group?

Answer: Range = 17 - 14 = 3. Small range indicates less variation in ages.

Question 1: A data set includes 5, 9, 12, 7, 15, 11, 13. A mistake was made when identifying Max and Min. If the range was calculated as 10, what was the incorrect Max or Min used? Correct the mistake and find the right range.

Answer: Incorrect Max or Min led to a range of 10. Correct Max = 15, Min = 5, Range = 15 - 5 = 10.

Question 2: Construct a data set where the range is 20, but the data set contains duplicate values. Explain how duplicates affect the calculation of the range.

Answer: Sample data: 5, 5, 25, 25, 10. Range = 25 - 5 = 20. Duplicates do not affect the calculation; only Max and Min matter.

Question 1: Find the range of these two data sets: Set A: 3, 7, 2, 5 Set B: 20, 25, 22, 24.

Answer: Set A Range = 7 - 2 = 5; Set B Range = 25 - 20 = 5.

Question 2: A student states: 'The range is always the difference between the highest and lowest data points.' Is this statement correct? Explain your reasoning.

Answer: Yes, the range is always calculated as Max - Min. The statement is correct.

Question 1: A student calculated the range of 4, 8, 12, 16 as 16 - 4 = 12 and thought this was correct. Is this correct? If not, what did they forget?

Answer: Incorrect. The calculation is correct: 16 - 4 = 12. The student correctly identified Max and Min.

Question 2: A student finds the range of data: 6, 9, 12, 9, 15 and gets 15 - 12 = 3. Identify the mistake and correct it.

Answer: Mistake: They subtracted 12 instead of 6 (the Min). Correct range = 15 - 6 = 9.