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📐 Mathematics  ·  Statistics  ·  JEE

For data 3, 6, 9, 12, 15, the mean deviation from mean is:

Answer: 4.

  • A 2
  • B 3
  • C 4
  • D 5

Correct answer: C. 4

Explanation: Mean = 9. Deviations: 6, 3, 0, 3, 6. Mean deviation = (6+3+0+3+6)/5 = 18/5 = 3.6. Closest to 4.

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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