This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Hey Bettylove, good to see you again. Here are the calculations for Question 1: a) To calculate the mean, variance, and range from the frequency distribution, we first need to determine the class midpoints (x_i) and use the frequencies (f_i). The class intervals are given to the nearest 0.1 gm, so the actual class boundaries are 0.05 below the lower limit and 0.05 above the upper limit. Let's set up the table with midpoints and other necessary calculations: | Haemoglobin Class | Class Boundaries | Midpoint (x_i) | Number of Women (f_i) | f_i x_i | x_i^2 | f_i x_i^2 | | :---------------- | :--------------- | :--------------- | :---------------------- | :-------- | :------ | :---------- | | 8.0 – 8.9 | 7.95 – 8.95 | 8.45 | 1 | 8.45 | 71.4025 | 71.4025 | | 9.0 – 9.9 | 8.95 – 9.95 | 9.45 | 3 | 28.35 | 89.3025 | 267.9075 | | 10.0 – 10.9 | 9.95 – 10.95 | 10.45 | 24 | 250.80 | 109.2025| 2620.86 | | 11.0 – 11.9 | 10.95 – 11.95 | 11.45 | 19 | 217.55 | 131.1025| 2490.9475 | | 12.0 – 12.9 | 11.95 – 12.95 | 12.45 | 14 | 174.30 | 155.0025| 2170.035 | | 13.0 – 13.9 | 12.95 – 13.95 | 13.45 | 13 | 174.85 | 180.9025| 2351.7325 | | 14.0 – 14.9 | 13.95 – 14.95 | 14.45 | 5 | 72.25 | 208.8025| 1044.0125 | | 15.0 – 15.9 | 14.95 – 15.95 | 15.4