9709 P6 - Nov 2004 - Q2
2413
The lengths of cars travelling on a car ferry are noted. The data are summarised in the following table.
| Length of car \( x \) (metres) | \( 2.80 \le x < 3.00 \) | \( 3.00 \le x < 3.10 \) | \( 3.10 \le x < 3.20 \) | \( 3.20 \le x < 3.40 \) |
|---|---|---|---|---|
| Frequency | 17 | 24 | 19 | 8 |
| Frequency density | 85 | 240 | 190 | \( a \) |
(i) Find the value of \( a \).
(ii) Draw a histogram on graph paper to represent the data.
