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 wage 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) The demand for the average size of any readymade garment is
the maximum. As, the modal value represents the value with the
highest frequency, so the number of the average size to be
produced is given by the Modal value.
(ii) Median will be the best measure for calculating the average
intelligence of students in a class. It is the value that divides
the series into two equal parts. So, number of students below and
above the average intelligence can easily be estimated by median.
(iii) It is advisable to use mean for calculating the average
production in a factory per shift. The average production is best
calculated by arithmetic mean.
(iv) Mean will be the most suitable measure. It is calculated by
dividing the sum of wages of all the labour by the total number
of labours in the industry.
(v) When the sum of absolute deviations from average is the
least, then mean could be used to calculate the average. This is
an important mathematical property of arithmetic mean. The
algebraic sum of the deviations of a set of n values from A.M. is
(vi) Median will be the most suitable measure in case the
variables are in ratios. It is least affected by the extreme
(vii) In case of open ended frequency distribution, Median is the
most suitable measure as it can be easily computed. Moreover, the
median value can be estimated even in case of incomplete
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