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Calculate the mean, variance, and range from a frequency distribution of haemoglobin levels.

Mathematics

ScanSolve AI Answer

a)
To calculate the mean, variance, and range from the frequency distribution, we first need to find the midpoint (xx) for each class interval, and then calculate fxfx and fx2fx^2.

Step 1: Create a table with midpoints, fxfx, and fx2fx^2.
The class intervals are given as 8.0-8.9, 9.0-9.9, etc. The midpoint xx for a class a−ba-b is a+b2\frac{a+b}{2}.

| Haemoglobin (g/100ml) | Number of Women (ff) | Midpoint (xx) | fxfx | x2x^2 | fx2fx^2 | | :-------------------- |

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