For a random sample of 50 employees, coded journey times x x\,x have ∑fx=815\sum fx=815∑fx=815 and ∑fx2=16475\sum fx^2=16475∑fx2=16475. The coding is x=t−202\displaystyle x=\frac{t-20}{2}x=2t−20, where t t\,t is the actual time in minutes. Linear interpolation gives a coded median of 13.9.
Estimate the sample standard deviation of xxx.
Find the median and sample standard deviation of ttt.
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.