5 The numbers of births, in thousands, to mothers of different ages in England and Wales, in 1991 and 2001 are illustrated by the cumulative frequency curves.
Cumulative frequency (000's)
\includegraphics[max width=\textwidth, alt={}, center]{dfad6626-75ca-4dbd-9c45-42f809c163f3-3_949_1338_461_479}
- In which of these two years were there more births? How many more births were there in this year?
- The following quantities were estimated from the diagram.
| Year | | | Interquartile | | range (years) |
| | Proportion of mothers | | giving birth aged below 25 |
| | Proportion of mothers | | giving birth aged 35 or above |
|
| 1991 | 27.5 | 7.3 | \(33 \%\) | \(9 \%\) |
| 2001 | | | | \(18 \%\) |
(a) Find the values missing from the table.
(b) Did the women who gave birth in 2001 tend to be younger or older or about the same age as the women who gave birth in 1991? Using the table and your values from part (a), give two reasons for your answer.