A survey of mothers' ages at the birth of their child was taken in maternity wards of hospitals across Australia in several years. A representative sample of 100 mothers was surveyed in each of the years: 1969, 1999 and 2009. The mothers' ages were recorded and the data is presented in an Excel file: MotherAge.xlsx that can be downloaded from the Moodle page in the "Assessments" block.

a)Determine the five-number summary for the each of the three data sets.

b)Draw a comparative box-plot of the Mothers' ages across the three different years.

c)Comment on any similarities and differences (as shown in the comparative box-plot) in the ages of mothers between the different years.

d)What is the probability of finding a mother who is 30 or more at the time of their child's birth in

i)1969, and in

ii) 2009?

\f\f