Eight observations have Sxx=98S_{xx}=98Sxx=98. A ninth observation, equal to the mean of the original eight observations, is added.
Explain why neither the mean nor SxxS_{xx}Sxx changes.
Calculate the sample standard deviation of the nine observations.
8 exam-style questions on OCR (MEI) A Level Maths 2.2.12 Variance and standard deviation. Each one has a worked solution and a mark scheme showing where the marks go.