Zaymiey

📐 Mathematics  ·  Statistics  ·  JEE

The median of grouped data uses the formula:

Answer: l + (n/2 - F)/f × h.

  • A l + (n/2 - F)/f × h
  • B l + (n - F)/f × h
  • C l + (f₁ - f₀)/(2f₁ - f₀ - f₂) × h
  • D sigma(fx)/sigma(f)

Correct answer: A. l + (n/2 - F)/f × h

Explanation: Median (grouped) = l + [(n/2 - F)/f] × h, where l = lower limit, F = cumulative freq before median class, f = freq of median class, h = class width.

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

Read the full Statistics notes →