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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 (xix_i) for each class interval.

Haemoglobin (g/100ml)Number of Women (fif_i)Midpoint (xix_i)fixif_i x_i(xi−xˉ)2(x_i - \bar{x})^2fi(xi−xˉ)2f_i (x_i - \bar{x})^2
8.0 – 8.918.458.4511.05562511.055625
9.0 – 9.939.4528.355.40562516.216875
10.0 – 10.92410.45250.801.75562542.135
11.0 – 11.91911.45217.550.1056252.006875
12.0 – 12.91412
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