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A frequency polygon is best described as a line graph joining the ____ of the tops of histogram bars.

Class 9StatisticsStatistics and Probability
  • Aclass marks
  • Blower limits
  • Cupper limits
  • Dfrequencies only

Step-by-Step Solution

A frequency polygon joins the points (class mark, frequency) at the tops of histogram bars with straight line segments.
Answer: A) class marks

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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