Zaymiey

📐 Mathematics  ·  Statistics  ·  JEE

Pearson's correlation coefficient r = 1 means:

Answer: Perfect positive correlation.

  • A No correlation
  • B Perfect negative correlation
  • C Perfect positive correlation
  • D Some positive correlation

Correct answer: C. Perfect positive correlation

Explanation: r = +1 indicates perfect positive linear correlation. As one variable increases, the other increases proportionally.

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 →