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Number of letter | Number of surnames (frequency) |
1 - 4 | 6 |
4 - 6 | 30 |
6 - 8 | 44 |
8 - 12 | 16 |
12 - 20 | 4 |
Answer :
i) Here, it can be observed that the data has class intervals of varying width.
The
proportion of the number of surnames per 2 letters interval can be calculated as follows:
Number of letter | Number of surnames (frequency) | Width of class | Length of rectangle |
1 - 4 | 6 | 3 | \(\frac{6 × 2}{3} = 4\) |
4 - 6 | 30 | 2 | \(\frac{30 × 2}{2} = 30\) |
6 - 8 | 44 | 2 | \(\frac{44 × 2}{2} = 44\) |
8 - 12 | 16 | 4 | \(\frac{16 × 2}{4} = 8\) |
12 - 20 | 4 | 8 | \(\frac{4 × 2}{8} = 1\) |