Exercise $1$:

Calculation of the direct standardized mortality rates for North East and South East regions of England, $2008$

$\backslash$table$[[\backslash$table$[[$Age$],[$group$],[($i$)]],\backslash$table$[[$Population$],[$of England:$],[$Standard $($Pi$)]],\backslash$table$[[$Mortality rates of region$],[($per person$)]],\backslash$table$[[$Expected deaths in England if subjected$],[$to mortality rates of$]]],[\backslash$table$[[$North East$],[(r_i^{-})$