In an attempt to determine necessary dosages of a new drug (HDL) used to control sepsis, assume you administer varying amounts of HDL to 40 mice. You create four groups and label them low dosage, moderate dosage, large dosage, and very large dosage. The dosages also vary within each group. After the mice are injected with the HDL and the sepsis bacteria, the time until the onset of sepsis is recorded. Your job as a statistician is to effectively communicate the results of the study.

1. Which measures of position could be used to help describe the data results?

2. If \(40 \%\) of the mice in the top quartile survived after the injection, how many mice would that be?

3. What information can be given from using percentiles?

4. What information can be given from using quartiles?

5. What information can be given from using standard scores?