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Questions › JNU › JNU SIS 2016 › Q48
2 marks, −1Statistics › Descriptive statistics and dispersion › Robustness, standardisation and recovering summary measuresHardabout 3 min

JNU SIS 2016 Question 48: Descriptive statistics and dispersion

A group of 250 items is divided into two subgroups, first consisting of 100 items and the second 150. The first group has a mean 15 and standard deviation (SD) 3. The mean and SD of the whole group is 15⋅615\cdot 615⋅6 and 13⋅44\sqrt{13\cdot 44}13⋅44​ respectively. The SD of the second group, then, is

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A group of 250 items is divided into two subgroups, first consisting of 100 items and the second 150. The first group has a mean 15 and standard deviation (SD) 3. The mean and SD of the whole group is 15· 6 and √(13· 44) respectively. The SD of the second group, then, is (A) 3 (B) 4 (C) undefined (D) infinity

Also written as: A group of 250 items is divided into two subgroups, first consisting of 100 items and the second 150. The first group has a mean 15 and standard deviation (SD) 3. The mean and SD of the whole group is 15* 6 and sqrt(13* 44) respectively. The SD of the second group, then, is

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.

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