State what is meant by a representative sample and explain its importance in sampling audit populations.

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Part $1$

A$.$

A representative sample is one in which the entire population is tested. Representative samples are ideal$$ because, excluding any nonsampling$$ risk, they will allow the auditor to identify all exceptions$($errors$)$ within the population.

B$.$

A representative sample is one in which the characteristics of interest for the sample are approximately the same as for the population. With a representative$$ sample, sampled items are similar to the items not sampled.

C$.$

A representative sample is one in which the auditors select sample items they believe will provide the most useful information. This type of sample allows the auditors to reach conclusions about populations on a judgmental basis.

D$.$

A representative sample is one in which mathematical rules are applied. This type of sample allows auditors to quantify$($measure$)$ sampling risk in planning the sample.