Which average would be suitable in the following cases?
(i) Average size of readymade garments.
(ii) Average intelligence of students in a class.
(iii) Average production in a factory per shift.
(iv) Average wages in an industrial concern.
(v) When the sum of absolute deviations from average is least.
(vi) When quantities of the variable are in ratios.
(vii) In case of open-ended frequency distribution.
Which average would be suitable in the following cases?
(i) Average size of readymade garments.
(ii) Average intelligence of students in a class.
(iii) Average production in a factory per shift.
(iv) Average wages in an industrial concern.
(v) When the sum of absolute deviations from average is least.
(vi) When quantities of the variable are in ratios.
(vii) In case of open-ended frequency distribution.
(i) Mode - Average size of any ready-made garments should be the size for which demand is the maximum. Hence the modal value which represents the value with the highest frequency should be taken as the average size to be produced.
(ii) Median - It is the value that divides the series into two equal parts. Therefore, Median will be the best measure for calculating the average intelligence of students in a class as it will give the average intelligence such that there is an equal number of students above and below this average. It will not be affected by extreme values.
(iii) Arithmetic Mean - The average production in a factory per shift is best calculated by arithmetic mean as it will capture all types of fluctuations in production during the shifts.
(iv) Arithmetic Mean - Arithmetic mean will be the most suitable measure. It is calculated by dividing the sum of wages of all the workers by the total number of workers in the industrial concern. It gives a fair idea of average wage bill taking into account all the workers.
(v) Arithmetic Mean - The algebraic sum of the deviations of values about arithmetic mean is zero. Hence, when the sum of absolute deviations from average is the least, then mean could be used to calculate the average.
(vi) Median - Median will be the most suitable measure in case the variables are in ratios as it is least affected by the extreme values.
(vii) Median - Median is the most suitable measure as it can be easily computed even in case of open-ended frequency distribution and will not get affected by extreme values.
(i) Mode - Average size of any ready-made garments should be the size for which demand is the maximum. Hence the modal value which represents the value with the highest frequency should be taken as the average size to be produced.
(ii) Median - It is the value that divides the series into two equal parts. Therefore, Median will be the best measure for calculating the average intelligence of students in a class as it will give the average intelligence such that there is an equal number of students above and below this average. It will not be affected by extreme values.
(iii) Arithmetic Mean - The average production in a factory per shift is best calculated by arithmetic mean as it will capture all types of fluctuations in production during the shifts.
(iv) Arithmetic Mean - Arithmetic mean will be the most suitable measure. It is calculated by dividing the sum of wages of all the workers by the total number of workers in the industrial concern. It gives a fair idea of average wage bill taking into account all the workers.
(v) Arithmetic Mean - The algebraic sum of the deviations of values about arithmetic mean is zero. Hence, when the sum of absolute deviations from average is the least, then mean could be used to calculate the average.
(vi) Median - Median will be the most suitable measure in case the variables are in ratios as it is least affected by the extreme values.
(vii) Median - Median is the most suitable measure as it can be easily computed even in case of open-ended frequency distribution and will not get affected by extreme values.
