Statistical Description of DataPYQ July 21Question 2631 of 295
All Questions

In a graphical representation of data, the largest numerical value is 45\displaystyle 45, the smallest numerical value is 25\displaystyle 25. If classes desired are 4\displaystyle 4 then which class interval is:-

Options

A45\displaystyle 45
B5\displaystyle 5
C20\displaystyle 20
D7.5\displaystyle 7.5
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option b — 5\displaystyle 5

All Options:

  • A45\displaystyle 45
  • B5\displaystyle 5
  • C20\displaystyle 20
  • D7.5\displaystyle 7.5

Detailed Solution & Explanation

To find the class interval in a graphical representation or frequency distribution, we use the formula for class width or interval, which is given by the range of the data divided by the desired number of classes.\n\nThe range of the data is the difference between the largest numerical value and the smallest numerical value:\nRange=Largest Value−Smallest Value=45−25=20\text{Range} = \text{Largest Value} - \text{Smallest Value} = 45 - 25 = 20\n\nGiven that the desired number of classes is 4\displaystyle 4, we calculate the class interval (i\displaystyle i) as follows:\ni=RangeNumber of Classes=204=5i = \frac{\text{Range}}{\text{Number of Classes}} = \frac{20}{4} = 5\n\nThus, the class interval size is 5\displaystyle 5. Hence, **Option B** is the correct answer.

More Questions from Statistical Description of Data

Mode can be obtained from________

The modes of presentation of data are:

The distribution of income is an example of frequency distribution of

In a frequency distribution, the relative frequency of the class is:

Histogram can be drawn when

Less than ‘o’give curve give

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