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The video tutorial discusses a population of women with normally distributed heights, with a mean of mu centimeters and standard deviation Sigma centimeters. It is stated that 30% of women are taller than 172 centimeters and 5% are shorter than 154 centimeters. The task is to sketch a diagram representing the height distribution and show that the mean mu equals 154 + 1.6449 times Sigma. These points are crucial for understanding the distribution of heights in the female population.