Question 1: Calculate the Range of the following set of measurements: 12, 15, 11, 19, 14.

Answer: 8

Question 2: A set of engineering measurements recorded are: 23, 27, 20, 25, 29. Find the Range.

Answer: 9

Question 3: The tensile strength measurements of different steel samples are: 480, 510, 495, 530, 495. What is the Range?

Answer: 50

Question 4: A data set consists of the following engineering tolerances in mm: 0.2, 0.4, 0.3, 0.5, 0.2. Calculate the Range.

Answer: 0.3

Question 5: In a set of measurements, the smallest value is 45 units, and the largest is 78 units. Determine the Range.

Answer: 33

Question 6: A manufacturing process records the thickness of components as: 2.5, 2.7, 2.4, 2.8, 2.6. Find the Range.

Answer: 0.4

Question 7: The range of a set of data points in an engineering test is 15. If the minimum measurement is 35, what is the maximum measurement?

Answer: 50

Question 8: Plot the data points: 10, 12, 14, 16, 18, 20, on the grid and determine the Range from the plotted data.

Answer: 10

Question 9: A set of measurements in an engineering test are: 55, 62, 50, 58, 65. Find the Range and explain what it indicates about the data spread.

Answer: 15; It indicates the spread between the smallest and largest measurement is 15 units, showing variability in the measurements.

Question 10: A technician records the following voltage readings (in volts): 110, 115, 112, 118, 113. Identify and correct a common mistake when calculating the Range if the student mistakenly subtracts the second smallest value from the largest.

Answer: Correct calculation: 118 - 110 = 8. Mistake: subtracting 112 from 118 gives 6, which is incorrect because it doesn't consider the smallest value of 110. The correct Range is 8.

Question 11: Challenge: The measurements of a batch of manufactured parts are: 0.95, 1.02, 1.10, 1.05, 1.08. The engineer claims the Range is 0.15. Is this correct? Justify your answer.

Answer: No, the Range is 1.10 - 0.95 = 0.15, so the claim is correct.