Q: Estimate the uncertainty in the distance modulus to the LMC, using the standard deviation from the mean of these values. (m-M) = 18.490 +/- 0.016 Q: Use the mean distance modulus to determine a distance to the LMC in kpc. (18.490 + 5) / 5 d = 10 = 49.88 kpc Q: Use the maximum distance modulus (mean + uncert) to determine a maximum distance estimate. (18.506 + 5) / 5 max d = 10 = 50.26 kpc Q: Use the minimum distance modulus (mean - uncert) to determine a minimum distance estimate. (18.474 + 5) / 5 min d = 10 = 49.52 kpc Q: What is the percentage uncertainty in the distance to the LMC, based on eclipsing binary stars? The difference between mean and min or max distances is about 0.35 kpc. d = 49.88 +/- 0.35 kpc The uncertainty in distance can be expressed as a percentage as 0.35 uncert in d = ------ = 0.007 = 0.7 percent 49.88 Note that the fractional uncertainty, 0.007, is a bit less than half the uncertainty in distance modulus, 0.016.