Question

Question 1.1. Suppose a normal distribution has a mean of 20 and a standard deviation of 4.

Answer 1

Answer: Question 1.1: It is 1.5 standard deviations away from the mean.

Our value of 26 is 6 units about the mean of 20. If each standard deviation is 4, we just divide 6 by 4. This gives us the number of standard deviations.

Question 2.2 The correct answer is -0.52

If we are 0.52 standard deviations below the mean, then our z-score is simply -0.52. The definition of a z-score is the number of standard deviations from the mean.