In a surprise check in a local bus, 20 passengers were caught without tickets. The sum of squares and the population standard deviation of the amount in their pockets were Rs. 2000 and Rs. 6, respectively. If the total fine equals the total amount discovered on them, and a uniform fine is imposed, then the fine imposed on an individual is:
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Descriptive statistics and dispersion has come up 117 times in 6 exams since 2004.
This question is on Robustness, standardisation and recovering summary measures, part of Descriptive statistics and dispersion in Statistics.
How summary measures react to outliers and corrections, and working backwards from them.
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Question from the DSE 2009 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.