1. Assume that the following data represent a population with m = 4 and s = 1.63:

X = [1 2 2 3 3 3 4 4 4 4 5 5 5 6 6 7]

1a. Plot a histogram of X as given, with a class width of 1. For this histogram, please do not leave space between bars.

1b. Convert the distribution to a distribution of z by filling out the second row in the table below. You do not need to provide calculation procedures for this question.

Raw score distribution 1 2 2 3 3 3 4 4 4 4 5 5 5 6 6 7

Z-score distribution

1c. Using the distribution from above, calculate z-scores for X = 2.5, 6.2, and 9. Interpret the meanings of the results.