Statistical Description of DataPYQ Dec. 21Question 2696 of 295
All Questions

Frequency density of a class interval is the ratio of

Options

AClass frequency to the total frequency
BClass length to class frequency
CClass frequency to the cumulative frequency
DFrequency of that class interval to the corresponding class length.
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option d — Frequency of that class interval to the corresponding class length.

All Options:

  • AClass frequency to the total frequency
  • BClass length to class frequency
  • CClass frequency to the cumulative frequency
  • DFrequency of that class interval to the corresponding class length.

Detailed Solution & Explanation

Frequency density is a crucial metric used when constructing histograms for distributions with unequal class intervals. It measures the concentration of frequency per unit length of the class interval. Mathematically, the frequency density of a class interval is defined as the ratio of the frequency of that class interval to the corresponding class width (or class length): Frequency Density=Class FrequencyClass Length\text{Frequency Density} = \frac{\text{Class Frequency}}{\text{Class Length}} Where: - **Class Frequency** is the number of observations falling within the class. - **Class Length** (or class width) is the difference between the upper and lower class boundaries of that class. This ensures that the area of the rectangles in a histogram represents the frequencies accurately when the class widths vary. This definition matches Option D. Hence, **Option D** is the correct answer.

More Questions from Statistical Description of Data

Ready to Master Statistical Description of Data?

Practice all 295 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free