Questions

1. In a population with a bell-shaped distribution is a standard score (or z score) of 4.5 very likely? Justify your answer.

2. Discuss the relative performance of Sue and Bob on recent statistics tests. Sue got a 68 in class that had an average of 63 with a standard deviation of 10. Bob got a 55 in a class that had an average of 49 with a standard deviation of of 8.

The next three questions use the data (times in a five mile race) given in the question section of the unit on summarizing data with tables.

3. What percentile corresponds to the time of 30.11 minutes? What percentage of runners finished after the runner with the time of 30.11 minutes?

4. Find the first decile.

5. Find the first quartile.

Click here to see the data for the 293 runners