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📐 Mathematics  ·  Statistics  ·  JEE

What does a histogram show?

Answer: Frequency distribution of continuous data in intervals.

  • A Categorical data plotted as separate, non-adjacent bars
  • B Frequency distribution of continuous data in intervals
  • C A circular sector representation equivalent to a pie chart
  • D Only the averages of each class interval

Correct answer: B. Frequency distribution of continuous data in intervals

Explanation: Histograms display frequency distributions of continuous data. Bars are joined (no gaps).

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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