Which statement about a histogram is CORRECT?

Class 9StatisticsStatistics and Probability

AIt is used for continuous grouped data and has no gaps between bars.
BIt is used for categorical data and always has gaps between bars.
CIts bar width has no meaning.
DIt can only show one class interval at a time.

Step-by-Step Solution

A histogram represents continuous grouped data; bars touch (no gaps) and bar width represents class size.

Answer: A) It is used for continuous grouped data and has no gaps between bars.

Key idea: Histogram vs bar graph

Both look like bars, but they differ:

**Bar graph**: For DISCRETE / categorical data (favourite colour, sport, etc.). Bars have GAPS between them. Width has no meaning.

**Histogram**: For CONTINUOUS / grouped data with class intervals. Bars TOUCH (no gaps), reflecting that the class boundaries are continuous. Bar WIDTH represents class size; HEIGHT represents frequency.

**Frequency polygon**: connect the midpoints (class marks) of the tops of histogram bars to form a line graph. Useful for comparing two distributions on the same axes.

**Key rule**: histogram bars must have no gaps; bar graph bars MUST have gaps.

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