Which average would be suitable in the following cases?
Average size of readymade garments.
Mode
Average intelligence of students in a class.
Median
Average production in a factory per shift.
Arithmetic Mean
Average wage in an industrial concern.
Median
When the sum of absolute deviations from average is least.
Median
When quantities of the variable are in ratios.
Geometric Mean
In case of open-ended frequency distribution.
Median and Mode
Explanation
The textbook context provides clear guidance for each case: (i) For readymade garments, Mode is suitable as manufacturers need to know the most popular size to produce. (ii) For intelligence (qualitative data), the context states 'Mode is generally used to describe the qualitative data.' (iii) For production, Arithmetic Mean is appropriate as it is 'based on all the observations.' (iv) For wages, Median is better because the context notes Arithmetic Mean 'is unduly affected by the presence of extreme items.' (v) Median has the mathematical property that sum of absolute deviations from it is minimum. (vi) Geometric Mean is suitable for ratios as mentioned in the context. (vii) The context explicitly states 'In case of open-ended distribution they can also be easily computed' referring to Median and Mode.