2.47 Life expectancy The Human Development Report 2013, published by the United Nations, showed life expectancies by country. For Western Europe, some values reported were Austria 81, Belgium 80, Denmark 80, Finland 81, France 83, Germany 81, Greece 81, Ireland 81, Italy 83, Netherlands 81, Norway 81, Portugal 80, Spain 82, Sweden 82, Switzerland 83.

For Africa, some values reported were Botswana 47, Dem. Rep. Congo 50, Angola 51, Zambia 57, Zimbabwe 58, Malawi 55, Nigeria 52, Rwanda 63, Uganda 59, Kenya 61, Mali 55, South Africa 56, Madagascar 64, Senegal 63, Sudan 62, Ghana 61.

a. Which group (Western Europe or Africa) of life expectancies do you think has the larger standard deviation?

Why?

b. Find the standard deviation for each group. Compare them to illustrate that s is larger for the group that shows more variability from the mean.