Prove that .

MATHEMATICS · Multi-part · CBSE · Mathematics · Statistics · Statistics

Problem

1. Prove that ∑i=1n(xi−μ)2=∑i=1n(xi2)−nμ2\sum_{i=1}^{n} (x_i - \mu)^2 = \sum_{i=1}^{n} (x_i^2) - n\mu^2 . (1) Prove that ∑i=1n(xi−μ)2=∑i=1n(xi2)−nμ2\sum_{i=1}^{n} (x_i - \mu)^2 = \sum_{i=1}^{n} (x_i^2) - n\mu^2 . (2) The data set x1,x2,…,x25x_1, x_2, \dots, x_{25} has ∑i=125xi2=2568.25\sum_{i=1}^{25} x_i^2 = 2568.25 and population standard deviation 5.2. Find the mean of the data set.

Related theory

Browse the problem library