The time taken, t t\,t minutes, for each of 50 employees to travel to work is recorded. The times are coded using
y=t−305\displaystyle y = \frac{t - 30}{5}y=5t−30
For the 50 coded values,
∑y=120\sum y = 120∑y=120 and ∑y2=400.5\sum y^2 = 400.5∑y2=400.5
Calculate the mean and the standard deviation of the coded values.
Hence find the mean and the standard deviation of the times ttt.
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.