The respondents of the 2007 HINTS reported their psychological distress on a scale between 0 and 24. In the table below, you will see separate data on two groups of respondents' distress scores: those who have ever been diagnosed as having cancer, and those who have not.

a. Calculate the variance and standard deviation from these statistics for both groups.
b. What can you say about the variability in the distress scores for those respondents who have been diagnosed as having cancer and those who have not? Why might there be a difference? Why might there be more variability for one group than for the other?
c. Was it necessary in this problem to provide you with the mean value to calculate the variance and standard deviation?

Transcribed Image Text:

Psychological Distress Score Not Diagnosed 4.87 5,849 25,180.20 1,200 Diagnosed 3.9 ΣΥ 729 3,059.14 E(Y-Y 187