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📐 Mathematics  ·  Statistics  ·  JEE

The mean of 100 observations is 50. Later one observation 100 was found to be misread as 10. The corrected mean is:

Answer: 50.9.

  • A 50.9
  • B 49.1
  • C 59
  • D 50.09

Correct answer: A. 50.9

Explanation: Corrected total increases by 90, so the mean rises by 90/100 = 0.9 to 50.9.

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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