QUESTION FIFTEEN (a) A charitable organisation decided to give old age pension to people over sixty years age. The scales of pension were fixed as follows; Age group(years) Amount of pension (in $) 60−65 20 per month 65−70 25 per month 70−75 30 per month 75−80 35 per month 80−85 40 per month The ages of 25 workers who secured pension right are given as: 74, 62, 84, 72, 61, 83, 72, 81 64, 71, 63, 61, 60, 67, 74, 64, 79, 73, 75, 76, 69, 68, 78, 69, 67. Required: Calculate monthly average pension payable per pension and the standard deviation. (b) If 20 is subtracted from every observation in a data set, then the coefficient of variation of the resulting data set is 20%. If 40 is added to every observation of the same set of data, then the coefficient of variation of the resulting set of data is 10%. Find the mean and standard deviation of the original set of data.
QUESTION FIFTEEN (a) A charitable organisation decided to give old age pension to people over sixty years age. The scales of pension were fixed as follows; Age group(years) Amount of pension (in $) 60−65 20 per month 65−70 25 per month 70−75 30 per month 75−80 35 per month 80−85 40 per month The ages of 25 workers who secured pension right are given as: 74, 62, 84, 72, 61, 83, 72, 81 64, 71, 63, 61, 60, 67, 74, 64, 79, 73, 75, 76, 69, 68, 78, 69, 67. Required: Calculate monthly average pension payable per pension and the standard deviation. (b) If 20 is subtracted from every observation in a data set, then the coefficient of variation of the resulting data set is 20%. If 40 is added to every observation of the same set of data, then the coefficient of variation of the resulting set of data is 10%. Find the mean and standard deviation of the original set of data.
Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.58TI: What is the total effect on the economy of a government tax rebate of $500 to each household in...
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QUESTION FIFTEEN
(a) A charitable organisation decided to give old age pension to people over sixty years age. The scales of pension were fixed as follows;
Age group(years)
Amount of pension (in $)
60−65
20 per month
65−70
25 per month
70−75
30 per month
75−80
35 per month
80−85
40 per month
The ages of 25 workers who secured pension right are given as: 74, 62, 84, 72, 61, 83, 72, 81 64, 71, 63, 61, 60, 67, 74, 64, 79, 73, 75, 76, 69, 68, 78, 69, 67.
Required: Calculate monthly average pension payable per pension and the standard deviation.
(b) If 20 is subtracted from every observation in a data set, then the coefficient of variation of the resulting data set is 20%. If 40 is added to every observation of the same set of data, then the coefficient of variation of the resulting set of data is 10%. Find the mean and standard deviation of the original set of data.
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