Statistical Description of DataMTP Nov 19Question 2730 of 295
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Frequency density is used in the construction of:

Options

AHistogram
BOgive
CFrequency Polygon
DNone of these
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Correct Answer

✅ Option a — Histogram

All Options:

  • AHistogram
  • BOgive
  • CFrequency Polygon
  • DNone of these

Detailed Solution & Explanation

In a histogram, the area of each rectangle represents the frequency of the corresponding class interval. - When class intervals are equal, the width of each bar is the same, so the height of the bar is directly proportional to its class frequency. - However, when the class intervals are **unequal**, plotting the frequency directly as the height would distort the visual representation (making wider classes look disproportionately larger). To prevent this, we adjust the height of the bars using **Frequency Density**: Frequency Density=Class FrequencyClass Length\text{Frequency Density} = \frac{\text{Class Frequency}}{\text{Class Length}} - By plotting frequency density on the vertical axis, the area of each bar remains proportional to its frequency. Thus, frequency density is used in the construction of a Histogram. This is Option A. Hence, **Option A** is the correct answer.

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