Suppose we divide Canada into three regions: the West, the Centre, and the East. Each region has an unemployment rate, defined as the number of people unemployed, expressed as a fraction of that region's labour force. The table that follows shows each region's unemployment rate and the size of its labour force.

a. Compute an unemployment rate for Canada using a simple average of the rates in the three regions. Is this the "right" unemployment rate for Canada as a whole? Explain why or why not.
b. Now compute an unemployment rate for Canada using weights that reflect the size of that region's labour force as a proportion of the overall Canadian labour force. Explain the difference in this unemployment rate from the one in part (a). Is this a "better" measure of Canadian unemployment? Explain why.