91Ó°ÊÓ

A set of data items is normally distributed with a mean of 400 and a standard deviation of 50. Find the data item in this distribution that corresponds to the given z-score. \(z=-2.5\)

What is the midrange and how is it obtained?

The "average" income in the United States can be given by the mean or the median. a. Which measure would be used in anti-U.S. propaganda? Explain your answer. b. Which measure would be used in pro-U.S. propaganda? Explain your answer.

Give an example of a set of six examination grades (from 0 to 100 ) with each of the following characteristics: a. The mean and the median have the same value, but the mode has a different value. b. The mean and the mode have the same value, but the median has a different value. c. The mean is greater than the median. d. The mode is greater than the mean. e. The mean, median, and mode have the same value. f. The mean and mode have values of 72 .

If you score in the 83rd percentile, what does this mean?

If your weight is in the third quartile, what does this mean?

Give an example of a phenomenon that is not normally distributed and explain why.