Zaymiey

📐 Mathematics  ·  Statistics  ·  JEE

Spearman's rank correlation is used when:

Answer: Data is on ordinal scale or ranks, or non-linear relationship suspected.

  • A Data is normally distributed with a known population variance value
  • B Data is on ordinal scale or ranks, or non-linear relationship suspected
  • C Data has roughly equal variance across the observed groups
  • D Used mainly for large samples exceeding thirty observations

Correct answer: B. Data is on ordinal scale or ranks, or non-linear relationship suspected

Explanation: Spearman rank correlation: non-parametric. Used for ordinal data or when linear relationship assumption fails.

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 →