You are watching: How many standard deviations is that [the difference found in part (a)]?

a. What is the positive difference in between Johnson’s height and themean? b. How many type of standard deviations is that

Hello,a. The distinction in between Johnson"s elevation and also the expect is 63 - 66.5 = -3.5. Since the question desires the "positive difference", we"ll say 3.5.b. To find the variety of standard deviations, we deserve to take the difference from component a and divide by the typical deviation. In this situation, that would certainly be 3.5/1.3 = 2.69. Johnson is 2.69 traditional deviations below the mean.c. Any z-score deserve to be uncovered via the adhering to formula: z = (X - M)/SD, wbelow X is a person"s score, M is the expect, and also SD is the typical deviation. In this situation we have z = (63 - 66.5)/1.3 = -2.69.d. If we consider z-scores between - 2 and 2 to be usual, then Johnson"s score would certainly be inexplicable bereason he is exterior of that selection.

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