1. Problem: Find the mean absolute deviation, standard deviation, and variance of the data set {600, 470, 170, 430, 300}. 2. First, calculate the mean (average) of the data: $$\text{Mean} = \frac{600 + 470 + 170 + 430 + 300}{5} = \frac{1970}{5} = 394$$ 3. Calculate the absolute deviations from the mean: $$|600 - 394| = 206, \quad |470 - 394| = 76, \quad |170 - 394| = 224, \quad |430 - 394| = 36, \quad |300 - 394| = 94$$ 4. Mean Absolute Deviation (MAD) is the average of these absolute deviations: $$\text{MAD} = \frac{206 + 76 + 224 + 36 + 94}{5} = \frac{636}{5} = 127.2$$ 5. Calculate the squared deviations from the mean: $$ (600 - 394)^2 = 206^2 = 42436, \quad (470 - 394)^2 = 76^2 = 5776, \quad (170 - 394)^2 = 224^2 = 50176, \quad (430 - 394)^2 = 36^2 = 1296, \quad (300 - 394)^2 = 94^2 = 8836$$ 6. Variance is the average of squared deviations: $$\text{Variance} = \frac{42436 + 5776 + 50176 + 1296 + 8836}{5} = \frac{108520}{5} = 21704$$ 7. Standard Deviation is the square root of variance: $$\text{Standard Deviation} = \sqrt{21704} \approx 147.32$$ Final answers for the first data set: - Mean Absolute Deviation = 127.2 - Variance = 21704 - Standard Deviation = 147.32