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📐 Mathematics  ·  Statistics  ·  JEE

The harmonic mean of 2, 4, 8 is approximately:

Answer: 3.43.

  • A 3.43
  • B 4.00
  • C 2.18
  • D 5.33

Correct answer: A. 3.43

Explanation: Harmonic mean HM = n / Σ(1/xᵢ). Here: 1/2 + 1/4 + 1/8 = 4/8 + 2/8 + 1/8 = 7/8. HM = 3 ÷ (7/8) = 3 × 8/7 = 24/7 ≈ 3.43. Useful for rates/speeds where equal time (not equal distance) is spent.

Normal Distribution: the 68-95-99.7 Rule68% within ±1σ95% within ±2σmean=median=mode (centre)

In a perfectly normal (bell-shaped) distribution, mean, median, and mode all coincide at the centre; about 68% of data falls within 1 standard deviation of the mean, 95% within 2, and 99.7% within 3 - the empirical rule used to judge how typical or extreme a value is.

Concept context

Mean, median, mode, standard deviation, and data interpretation

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