(i) To find the mean weight of the 45 fruits, calculate the total weight of the oranges and lemons and divide by the total number of fruits:

\(\text{Mean} = \frac{(220 \times 20) + (118 \times 25)}{45} = \frac{4400 + 2950}{45} = \frac{7350}{45} = 163\)

(ii) First, find \(\Sigma x_o^2\) and \(\Sigma x_l^2\) using the variance formula:

For oranges:

\(\frac{\Sigma x_o^2}{20} - 220^2 = 32^2\)

\(\Sigma x_o^2 = 20 \times (32^2 + 220^2) = 988480\)

For lemons:

\(\frac{\Sigma x_l^2}{25} - 118^2 = 12^2\)

\(\Sigma x_l^2 = 25 \times (12^2 + 118^2) = 351700\)

\(Combine these to find the variance of all fruits:\)

\(\Sigma x_o^2 + \Sigma x_l^2 = 988480 + 351700 = 1340180\)

\(\text{Variance} = \frac{1340180}{45} - \left(\frac{7350}{45}\right)^2 = 3100 \text{ to } 3120\)