The weights (in pounds) of type 2 diabetes patients from 2006 to 2007 are described by the density histogram in Fig. 32. The weights are rounded to the ones place.

a. Describe the shape of the distribution. Which is larger, the mean or the median? Which is a better measure of the center? Explain.
b. Identify which class contains the median.
c. A student says the density histogram must not have been constructed correctly, because the median should aways be in the class with largest density. What would you tell the student?
d. Estimate the percentile for the weight 249 pounds.
e. Estimate the 95th percentile.

Transcribed Image Text:

Weights of Type 2 Diabetes Patients 0.010 0.008 0.006 0.43 0.004 0.35 0.002 0.13 0.04 0.03 50 100 150 200 250 300 350 400 Pounds