In Problem 2.6, compute the estimated error in the overall distance as measured by both the 100- and 200-ft tapes. Which tape produced the smallest error?

Problem 2.6

Problem 2.6

A distance was measured in two parts with a 100-ft steel tape and then in its entirety with a 200-ft steel tape. Five repetitions were made by each method. What are the mean, variance, and standard deviation for each method of measurement?

Distances measured with a 100-ft tape: Section 1: 100.006, 100.004, 100.001, 100.006, 100.005 Section 2: 86.777, 86.779, 86.785, 86.778, 86.774

Distances measured with a 200-ft tape: 186.778, 186.776, 186.781, 186.766, 186.789