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NDA 2025 · PYQ · Statistics / Frequency distribution · medium

The frequency distribution of height of students of a class is given (Height in cm: 160–162, 162–164, 164–166, 166–168 with Number of Students: 12, 15, 24, 13). What is the total number of students whose height is less than or equal to 165 cm?

  1. A.15
  2. B.39
  3. C.51✓ Correct
  4. D.None of the above

Explanation

Students with height ≤ 162: 12. Students with height in 162–164: 15. Students with height in 164–166: 24, and assuming uniform distribution, students with height ≤ 165 in this class = 24 × (165 − 164)/(166 − 164) = 24 × 1/2 = 12. Total = 12 + 15 + 12 = 39. Wait, that gives 39. Re-checking: 12 + 15 + 12 = 39. The answer is 39.
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