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Exercises · Q7

Q.Statistical methods are no substitute for common sense. Comment with examples from your daily life.

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Statistical methods compute results from whatever data we give them, but they cannot tell us whether the data are suitable or whether the conclusion makes sense. Sound common sense is needed to choose the data, apply the right method and interpret the answer — so statistics supplements judgement, it never replaces it.

Concept first: statistics as a tool, not a substitute for thinking

Statistical methods (averages, percentages, comparisons, and so on) are tools for handling data. Like any tool, they give useful results only when used sensibly. They cannot, by themselves, decide what to investigate, which data are appropriate, or whether a result is reasonable. Those decisions need human judgement — common sense. If common sense is missing, statistics can produce results that are technically correct but practically misleading.

Example 1 — A misleading average

Suppose a small shop's sales are averaged over a month and the mean comes to ₹5,000 a day. Taken literally, one might expect ₹5,000 every day. But common sense (and knowledge of the shop) tells us that sales shoot up during festivals and fall on ordinary days. The average alone hides this variation; only sensible interpretation prevents a wrong conclusion, such as ordering the same stock every day.

Example 2 — "Garbage in, garbage out" …

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