Distances travelled by 100 people are grouped. Using class midpoints gives ∑fx=2651\sum fx=2651∑fx=2651 and ∑fx2=80434.25\sum fx^2=80434.25∑fx2=80434.25. Linear interpolation gives a median of 26.1 miles.
Estimate the mean distance.
Estimate the sample standard deviation.
Compare the mean and median and give a cautious comment about skew.
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.