Each year, the World Economic Forum produces a Global Gender Gap Index which measures the differences between men and women with regard to four factors: (i) health and survival, (ii) educational attainment, (iii) economic participation and opportunity, and (iv) political empowerment. A higher score implies more gender equality. The results for the top 20 ranked countries for 2014 are as follows:

a) Draw a histogram of these results, using endpoints of 0.74 and 0.86, and identify the mode.

b) Calculate the mean and median of the distribution.

c) Calculate the z-scores for Canada and Finland.

d) What do your answers to (a), (b), and (c) say about the symmetry of the distribution?

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Iceland 0.8594 Switzerland 0.7798 Finland 0.778 0.8453 Germany Norway 0.8374 New Zealand 0.7772 Sweden 0.8165 Netherlands 0.773 Latvia Denmark 0.8025 0.7691 Nicaragua 0.7894 France 0.7588 0.7565 Rwanda 0.7854 Burundi Ireland 0.785 South Africa 0.7527 Philippines Canada 0.7814 0.7464 Belgium 0.7809 United States 0.7463