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Calculate the mean, variance, and range for the given frequency distribution of haemoglobin levels.
Mathematics
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Question 1 (a)
To calculate the mean, variance, and range for the given frequency distribution, we first need to determine the midpoint () for each class interval.
| Haemoglobin (g/100ml) | Number of Women () | Midpoint () | |||
|---|---|---|---|---|---|
| 8.0 – 8.9 | 1 | 8.45 | 8.45 | 11.055625 | 11.055625 |
| 9.0 – 9.9 | 3 | 9.45 | 28.35 | 5.405625 | 16.216875 |
| 10.0 – 10.9 | 24 | 10.45 | 250.80 | 1.755625 | 42.135 |
| 11.0 – 11.9 | 19 | 11.45 | 217.55 | 0.105625 | 2.006875 |
| 12.0 – 12.9 | 14 | 12 |
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