The values in two datasets, whose probability distributions are both normal curves, are summarised by the following totals:

Σx² = 35 000, Σx = 12 000 and n = 5000.

Σy² = 72000, Σy = 26 000 and n = 10 000.

a. Show that the centre of the curve for y is located to the right of the curve for x.

b. On the same diagram, sketch a normal curve for each dataset.