2) The Beck Depression Inventory (BDI) is a validated questionnaire that is widely used to collect data on self-reported symptoms of subclinical depression. The distribution of BDI is shown for 119 individuals participating in a weight loss intervention. Please answer the following questions in no more than one sentence each.

a) Based on the histogram below, which measure of central tendency is greater, the median or the mean? Why?

b) What kind of variable is the BDI?

c) Suppose you were asked for a one number summary of BDI scores in this population. What would you report? Why?

d) Does this histogram show the sampling distribution of the sample mean? Why or why not?

50 40 30 Percent 20 10 5 10 15 20 25 30 35 40 BDI Total