The first four deviations from the mean in a sample of n = 5 reaction times were .6, .9, 1.0, and 1.5. What is the fifth deviation from the mean? Provide a sample for which these are the five deviations from the mean

What will be an ideal response?

Let d denote the fifth deviation. Then .6 + .9+1.0 + 1.5 + d = 0 or 4.0 + d = 0, so d = 4.0. One sample for which these are the deviations is x1= 4.6, x2 = 4.9, x3 = 5.0, x4 = 5.5, x5 = 0. (Obtained by adding 4.0 to each deviation; adding any other number will produce a different sample with the desired property).