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Assertion (A): In a histogram, there is no gap between consecutive bars. Reason (R): Histograms represent continuous data grouped into adjacent class intervals. Which is correct?

Class 8Data HandlingData Handling
  • ABoth A and R are true, and R correctly explains A.
  • BBoth A and R are true, but R does not explain A.
  • CA is true but R is false.
  • DA is false but R is true.

Step-by-Step Solution

Histograms show continuous grouped data, so class intervals are adjacent and the bars touch with no gap. R correctly explains A.
Answer: A) Both A and R are true, and R correctly explains A.

Key idea: Histograms — bars that touch

A histogram is a bar graph for **grouped** data:

- The -axis shows class intervals (continuous, so bars TOUCH).
- The -axis shows frequency.
- Bar widths are equal (one per class).
- Bar height = frequency of that class.

Difference from a regular bar graph: bar graphs separate distinct categories with gaps; histograms show continuous data with no gaps.

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