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Questions › DSE › DSE 2006 › Q27
2 marksStatistics › Descriptive statistics and dispersion › The arithmetic mean and its propertiesModerateabout 3 min

DSE 2006 Question 27: Descriptive statistics and dispersion

Members of the Gymkhana Club are charged quarterly fees on the basis of their average weight, rounded to the nearest kg. Of the 560560560 members, 120120120 weighed between 606060 and 696969 kg., 140140140 weighed between 707070 and 797979 kg., 170170170 weighed between 808080 and 898989 kg., and the remaining weighed between 909090 and 999999 kg. If members are charged Rs. 505050 per kilo of their weight, on average how much must each member pay?

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Members of the Gymkhana Club are charged quarterly fees on the basis of their average weight, rounded to the nearest kg. Of the 560 members, 120 weighed between 60 and 69 kg., 140 weighed between 70 and 79 kg., 170 weighed between 80 and 89 kg., and the remaining weighed between 90 and 99 kg. If members are charged Rs. 50 per kilo of their weight, on average how much must each member pay? (A) Rs. 3800 (B) Rs. 3900 (C) Rs. 4000 (D) Rs. 4100

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

What this question tests

This question is on The arithmetic mean and its properties, part of Descriptive statistics and dispersion in Statistics.

Computing the mean from raw and grouped data, and what changes when data are shifted, scaled or corrected.

TestStop has 12 past-paper questions on this subtopic; the nearest in year are below.

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Practise Descriptive statistics and dispersionMore on The arithmetic mean and its properties

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Question from the DSE 2006 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.