Zaymiey

📐 Mathematics  ·  Statistics  ·  JEE

IQR (Interquartile Range) = Q<sub>3</sub> - Q<sub>1</sub> measures:

Answer: Spread of middle 50% of data.

  • A Total range from minimum to maximum
  • B Spread of middle 50% of data
  • C Average spread across the entire dataset
  • D Variance, the squared average deviation

Correct answer: B. Spread of middle 50% of data

Explanation: IQR measures the range of the middle 50% of data, making it resistant to outliers.

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 →