Question

sas was used to compare the high school dropout rates for the 30 school districts in one city in 2010 and 2012. the box plots generated for these dropout rates are shown below. compare the center of the distributions and the variation of the distributions for the two years. o a. dropout rates had a higher average with more variability in 2010 than in 2012 o b. dropout rates had a higher average with less variability in 2010 than in 2012 o c. dropout rates had a lower average with less variability in 2010 than in 2012 o d. dropout rates had a lower average with more variability in 2010 than in 2012

Explanation:

Step1: Analyze the center (median) of box - plots

The median (center line of the box in a box - plot) of the 2010 box - plot is higher than the median of the 2012 box - plot. So, the average (median is a measure of central tendency) dropout rate was higher in 2010.

Step2: Analyze the variability (inter - quartile range and whiskers)

The inter - quartile range (IQR, the length of the box) and the range (distance between the whiskers) of the 2010 box - plot are larger than those of the 2012 box - plot. A larger IQR and range indicate more variability.

Answer:

A. Dropout rates had a higher average with more variability in 2010 than in 2012