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Questions › DSE › DSE 2004 › Q29
2 marks, −1Statistics › Descriptive statistics and dispersion › Robustness, standardisation and recovering summary measuresHardabout 3 min

DSE 2004 Question 29: Descriptive statistics and dispersion

101010 outcomes of a random variable were recorded. The sample mean is 000 and the sample variance is 444. It is discovered that two outcomes were recorded incorrectly: one outcome was recorded as −5-5−5 instead of −6-6−6 and another outcome was recorded as 111111 instead of 121212. What is the correct variance?

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10 outcomes of a random variable were recorded. The sample mean is 0 and the sample variance is 4. It is discovered that two outcomes were recorded incorrectly: one outcome was recorded as -5 instead of -6 and another outcome was recorded as 11 instead of 12. What is the correct variance? (A) 4 (B) 3.6 (C) 7.4 (D) 5.2

Descriptive statistics and dispersion has come up 117 times in 6 exams since 2004.

What this question tests

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.

TestStop has 11 past-paper questions on this subtopic.

Practise Descriptive statistics and dispersionMore on Robustness, standardisation and recovering summary measures

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Question from the DSE 2004 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.