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📐 Mathematics  ·  Statistics  ·  JEE

For a negatively skewed distribution:

Answer: Mean < Median < Mode.

  • A Mean = Median = Mode
  • B Mean > Median > Mode
  • C Mean < Median < Mode
  • D Mode < Median < Mean

Correct answer: C. Mean < Median < Mode

Explanation: Negative (left) skew: long tail to the left. Mean pulled left by extreme low values. Mean < Median < Mode.

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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