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📐 Mathematics  ·  Statistics  ·  JEE

The variance of 5, 5, 5, 5, 5 is:

Answer: 0.

  • A 5
  • B 1
  • C 0
  • D 25

Correct answer: C. 0

Explanation: All values equal the mean (5). All deviations are zero. Variance = 0.

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

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