Distribution of z Scores

a. A data set has a distribution that is uniform. If all of the values are converted to z scores, what is the shape of the distribution of the z scores?

b. A data set has a distribution that is bell-shaped. If all of the values are converted to z scores, what is the shape of the distribution of the z scores?

c. In general, how is the shape of a distribution affected if all values are converted to z scores?