Descriptive statistics (central tendency, dispersion)Downloads

A 24-year-old woman presents to a medical office for a follow-up evaluation. The medical history is significant for type 1 diabetes, for which she takes insulin. She was recently hospitalized for diabetic ketoacidosis following a respiratory infection. Today she brings in a list of her most recent early morning fasting blood glucose readings for review. Her glucose readings range from 126 mg/dL–134 mg/dL, except for 2 readings of 350 mg/dL and 380 mg/dL, taken at the onset of her recent hospitalization. Given this data set, which measure(s) of central tendency would be most likely affected by these additional extreme values?

A biostatistician is processing data for a large clinical trial she is working on. The study is analyzing the use of a novel pharmaceutical compound for the treatment of anorexia after chemotherapy with the outcome of interest being the change in weight while taking the drug. While most participants remained about the same weight or continued to lose weight while on chemotherapy, there were smaller groups of individuals who responded very positively to the orexic agent. As a result, the data had a strong positive skew. The biostatistician wishes to report the measures of central tendency for this project. Just by understanding the skew in the data, which of the following can be expected for this data set?