1. **Problem Statement:** Compute the mean, median, mode, range, variance, and standard deviation of sales for 8 outlets with sales data: 45, 52, 39, 60, 55, 48, 62, 50 (in MK millions). 2. **Formulas and Rules:** - Mean: $\bar{x} = \frac{\sum x_i}{n}$ - Median: Middle value when data is sorted - Mode: Most frequent value - Range: $\max(x_i) - \min(x_i)$ - Variance: $s^2 = \frac{\sum (x_i - \bar{x})^2}{n-1}$ - Standard deviation: $s = \sqrt{s^2}$ 3. **Step-by-step Calculation:** - Sort data: 39, 45, 48, 50, 52, 55, 60, 62 - Mean: $\frac{39 + 45 + 48 + 50 + 52 + 55 + 60 + 62}{8} = \frac{411}{8} = 51.375$ - Median: Average of 4th and 5th values: $\frac{50 + 52}{2} = 51$ - Mode: No repeated values, so no mode - Range: $62 - 39 = 23$ - Variance: Calculate squared deviations: $(39 - 51.375)^2 = 153.14$ $(45 - 51.375)^2 = 40.64$ $(48 - 51.375)^2 = 11.39$ $(50 - 51.375)^2 = 1.89$ $(52 - 51.375)^2 = 0.39$ $(55 - 51.375)^2 = 13.14$ $(60 - 51.375)^2 = 74.39$ $(62 - 51.375)^2 = 112.89$ - Sum of squared deviations: $153.14 + 40.64 + 11.39 + 1.89 + 0.39 + 13.14 + 74.39 + 112.89 = 407.87$ - Variance: $s^2 = \frac{407.87}{7} = 58.27$ - Standard deviation: $s = \sqrt{58.27} \approx 7.63$ **Final answers:** - Mean = 51.375 - Median = 51 - Mode = None - Range = 23 - Variance = 58.27 - Standard deviation = 7.63