For n n\,n observations x1,x2,…,xnx_1,x_2,\ldots,x_nx1,x2,…,xn, the variance is ∑x2n−xˉ2\dfrac{\sum x^2}{n}-\bar{x}^2n∑x2−xˉ2. A constant c c\,c is added to every observation.
Show algebraically that the variance is unchanged.
278 exam-style questions on CCEA A Level Maths 2.5 Data presentation and interpretation, covering 2.5.1 Data presentation and interpretation, 2.5.2 Data presentation and interpretation, 2.5.3 Data presentation and interpretation, 2.5.4 Data presentation and interpretation, 2.5.5 Data presentation and interpretation, 2.5.6 Data presentation and interpretation, 2.5.7 Data presentation and interpretation, 2.5.8 Data presentation and interpretation, 2.5.9 Data presentation and interpretation, and 2.5 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.