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Exercise 10.1 · Q1

Q.Do you agree that classified data is better than raw data? Explain with an example from your daily life.

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✓ Free question

Classified (grouped) data is superior to raw data for analysis — grouping into classes with frequencies converts a disorganised list into a readable summary.

Raw data: the original, ungrouped set of observations, in the order/form collected.

Classified (grouped) data: raw data arranged into non-overlapping classes (categories or intervals), each carrying a frequency ff = number of observations falling in that class.

  1. Raw data example: Marks scored by 40 students in a class test (unsorted): 23,45,12,67,34,55,78,29,41,60,…23, 45, 12, 67, 34, 55, 78, 29, 41, 60, \ldots — 40 individual numbers. To find how many students scored between 40 and 60, one must scan every value.
  2. Classify it into class-intervals of width h=20h=20:
Marks (Class Interval)Frequency (ff)
0–203
20–409
40–6014
60–8010
80–1004
Total40
  1. From this classified table, the modal class (40–60) and the overall spread are visible at a single glance — no scanning of raw numbers is needed.
  2. A daily-life analogy: a shopkeeper's raw list of 500 daily bill amounts is unreadable, but classifying bills into ranges (₹0–500, ₹500–1000, ...) with counts immediately shows the most common purchase range — useful for stocking decisions.
  3. Hence classification trades a small loss of individual-level detail for a large gain in interpretability and usefulness for decision-making.
✓Final answer

Yes, classified data is better than raw data — organising observations into classes with frequencies reveals patterns (modal class, spread, comparisons) instantly, which raw, ungrouped data cannot.

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