Question 1 of 7beginner💡 UnderstandShort Answer7 marks

Which average would be suitable in the following cases?

(i)

Average size of readymade garments.

Answer

Mode

(ii)

Average intelligence of students in a class.

Answer

Median

(iii)

Average production in a factory per shift.

Answer

Arithmetic Mean

(iv)

Average wage in an industrial concern.

Answer

Median

(v)

When the sum of absolute deviations from average is least.

Answer

Median

(vi)

When quantities of the variable are in ratios.

Answer

Geometric Mean

(vii)

In case of open-ended frequency distribution.

Answer

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.