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Curated by: Khan Academy India - English (13 videos)
In this video, we apply the shortcut (step-deviation) method to calculate the mean, variance, and standard deviation for continuous grouped data. We'll work through an example, choosing an assumed mean (A) and class size (h) to simplify our data into 'y' values. We then compute the necessary sums and use the shortcut formulas to find the mean, variance, and standard deviation. This method can significantly reduce calculation complexity. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (https://www.khanacademy.org/math/ncert-class-11/xea4762213f311c5e:statistics-ncert-new/xea4762213f311c5e:variance-and-standard-deviation/e/standard_deviation_of_a_population) Timestamps: 00:00 Problem: Calculating Mean, Variance, and SD for continuous data 01:10 Calculating step-deviations (y_i) and required sums (N, sum of f_i y_i, sum of f_i y_i squared) 02:55 Calculating Mean using the shortcut formula 03:35 Calculating Variance and Standard Deviation using shortcut formulas Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Ashish Gupta