For this last question, let's see how well you can follow a recipe. Now, you do not have to understand where the recipe comes from, that is not what is being asked here. The goal is simply to following a scripted set of mathematical instructions to generate a result? How does that sound? The purpose of the following instruction is to enable you to calculate the uncertainty in the average of a set of values that contain random uncertainty. You will learn much more about the context in Part 2 of this lab, however for now, do not bother yourself with the details. You will perform or follow this same recipe later in the lab when analyzing "small data sets". Your data set to work here is: {4, 4.9, 6.5, 11.2, 1.8) Beginning at step (2) in the table below, following steps (2) - (4) to compute the uncertainty in the average (Jargon Alert: The average and the mean represent the same quantity - they're the same thing!). (1) Mean (Xavg) The average of all values of x (the "best" value of x) Xavg = x1 + x2 + N ...+XN (2) Range (R) The "spread" of the data set. This is the difference between the maximum and minimum values of x R = Xmax (3) Uncertainty in a measurement (Ax) (4) Uncertainty in the Mean Uncertainty in a single measurement of x. You determine this uncertainty by making multiple measurements. You know from your data that x lies somewhere between xmax and xmin Uncertainty in the mean value of x. The actual value of x will be somewhere in a neighborhood around Xavg. This neighborhood of values is the uncertainty in the mean. (Axavg) ? Give your answer to one decimal place (or round to the ter place). Ax = R2 AX avg Xmin = Xmaxxmin 2 Ax R = N 2N