Ten observations have ∑x=120\sum x=120∑x=120 and ∑x2=2000\sum x^2=2000∑x2=2000. The value 30 is then found to be an erroneous entry and is removed.
Calculate the original mean and standard deviation.
Calculate the mean and standard deviation after the entry is removed.
Describe the effect of removing the entry.
121 exam-style questions on OCR A Level Maths 2.2 Data Presentation and Interpretation, covering 2.2.1 Tables and diagrams for single variable data, 2.2.2 Area in a histogram, 2.2.3 Scatter diagrams and regression lines, 2.2.4 Informal interpretation of correlation, 2.2.5 Correlation and causation, 2.2.6 Measures of average and spread, 2.2.7 Calculations of mean and standard deviation, 2.2.8 Outliers, 2.2.9 Selecting or critiquing data presentation, and 2.2.10 Cleaning data. Each one has a worked solution and a mark scheme showing where the marks go.