JNU SSS 2012 Question 35: Descriptive statistics and dispersion
The names of 7 students when ranked in ascending order of their weights are A, B, C, D, E, F and G. A's weight is 45 kg and G's weight is 75 kg.
Suppose the name of F is deleted from the list and the difference in weights between any two consecutively ranked students on the list is a constant positive number. Calculate the arithmetic mean of the absolute deviations of the weights of the six students from the arithmetic mean of their weights. How many students in the list have a weight which differs from the median weight by more than this amount?
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The names of 7 students when ranked in ascending order of their weights are A, B, C, D, E, F and G. A 's weight is 45 kg and G 's weight is 75 kg. Suppose the name of F is deleted from the list and the difference in weights between any two consecutively ranked students on the list is a constant positive number. Calculate the arithmetic mean of the absolute deviations of the weights of the six students from the arithmetic mean of their weights. How many students in the list have a weight which differs from the median weight by more than this amount? (A) 1 (B) 2 (C) 3 (D) 4
Descriptive statistics and dispersion has come up 117 times in 6 exams since 2004.
What this question tests
This question is on Measures of dispersion, part of Descriptive statistics and dispersion in Statistics.
How spread out data are: range, variance, standard deviation and relative measures.
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