1. Explain how two data sets could have equal means and modes but still differ greatly. Give an example with two data sets to illustrate.

2) If your score on your next statistics test is converted to a z score, which of these z scores would you prefer? Explain your answer. -2.50, -1.50, 0, 1.00, 2.25

3) Dave is a college student contemplating a possible career option. One factor that will influence his decision is the amount of money he is likely to make. He decides to look up the average salary of graduates in that profession. Which information would be more useful to him, the mean salary or the median salary. Why?

4) Which do you think has less variation: the IQ scores of students in your statistics class or the IQ scores of a simple random sample taken from the general population? Why?

5) A male student of the author has a measured pulse rate of 52 beats per minute. According to a National Center for Health Statistics data set, males have a mean pulse rate of 67.3 beats per minute and a standard deviation of 10.3 beats per minute. Determine whether the student's pulse rate is significantly low or high by determining the difference between the student's pulse rate and the mean pulse rate of males and how many standard deviations that difference represents by calculating the z score. Consider usual pulse rates to be within 2 standard deviations of the mean.