Twenty values have mean 12, and for these values ∑x2=2960\sum x^2 = 2960∑x2=2960.
One further value, ccc, is added. The mean of the resulting 21 values is 12.5.
Find the value of ccc.
Find the standard deviation of the 21 values.
The standard deviation of the original 20 values is 2. Explain why the standard deviation of the 21 values is larger.
244 exam-style questions on AQA A Level Maths 2.2 L: Data presentation and interpretation, covering 2.2.1 Single-variable data diagrams, 2.2.2 Scatter diagrams and correlation, 2.2.3 Central tendency, variation and standard deviation, 2.2.4 Outliers and cleaning data, and 2.2 L: Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.