Zaymiey

📐 Mathematics  ·  Statistics  ·  JEE

Coefficient of variation is used to:

Answer: Compare variability between datasets with different means.

  • A Find the mean value of a single data set
  • B Compare variability between datasets with different means
  • C Measure the correlation between two distinct variables
  • D Find the quartile boundaries of a frequency distribution

Correct answer: B. Compare variability between datasets with different means

Explanation: CV = (SD/mean) × 100%. Allows comparison of variability between datasets with different scales.

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 →