= Let y1, . . . , yn real numbers, and let y n Σ₁ yi be their arithmetic mean. Show that for any real number a the formula holds the so-called n n Σα- (vi- a)^2 = [0 (yi-ÿ)^2 + n(ỹ-a)^2| i=1 i=1 Guidance: start from the representation (yi — a)² = (yi − ÿ + ÿ − a).^2. And other option: revert this to the previous task.
= Let y1, . . . , yn real numbers, and let y n Σ₁ yi be their arithmetic mean. Show that for any real number a the formula holds the so-called n n Σα- (vi- a)^2 = [0 (yi-ÿ)^2 + n(ỹ-a)^2| i=1 i=1 Guidance: start from the representation (yi — a)² = (yi − ÿ + ÿ − a).^2. And other option: revert this to the previous task.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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