A survey plotted ‘less than’ ogives for monthly family income in two towns, P and Q

MATHEMATICS · Single correct · GCSE · Mathematics · Statistics · Statistics

Problem

A survey plotted ‘less than’ ogives for monthly family income in two towns, P and Q. The curves show the following points: • Town P: 40 % of families earn below Rs 12,000 and 60 % earn below Rs 18,000. • Town Q: 40 % of families earn below Rs 10,000 and 60 % earn below Rs 20,000. Which comparison is correct? (a) Town P has a higher median and lower variability than Town Q (b) Town Q has a higher median and lower variability than Town P (c) Both towns have the same median, but Town Q shows greater variability (d) Both towns have the same median and the same variability

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