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For the data 6, 8, 10, 12, 14, the bar graph differs from a histogram mainly because a bar graph ____.

Class 9StatisticsStatistics and Probability
  • Ahas gaps between the bars
  • Bhas no gaps between the bars
  • Ccannot show frequencies
  • Dmust use class intervals

Step-by-Step Solution

Bar graphs (for discrete/categorical data) leave gaps between bars, whereas histograms (for continuous data) have no gaps.
Answer: A) has gaps between the 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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