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Question

The class interval of the following classes is : 
10-20, 20-30, 30-40, 40-50

The correct answer is
10

Class Interval Definition

The class interval in statistics represents the range or width of each class in a frequency distribution. It is the difference between the upper and lower class limits.

Class Interval Calculation

To find the class interval for the given classes (10-20, 20-30, 30-40, 40-50), we calculate the difference between the upper and lower limits for any class.

  • For the class 10-20:
    • Upper Limit = 20
    • Lower Limit = 10
    • Class Interval = Upper Limit - Lower Limit
    • $\text{Class Interval} = 20 - 10 = 10$
  • For the class 20-30:
    • Upper Limit = 30
    • Lower Limit = 20
    • Class Interval = Upper Limit - Lower Limit
    • $\text{Class Interval} = 30 - 20 = 10$

Similarly, the class interval for 30-40 is $30 - 20 = 10$, and for 40-50 is $40 - 30 = 10$. All the classes share the same interval.

Therefore, the class interval for the given classes is 10.

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Important Questions from Classification of Data

  1. A graph of frequency distribution constructed by plotting the frequency density against the mid-points of the class is :
  2. Consider the following statements:

    Statement 1: Range is not a good measure of dispersion.

    Statement 2: Range is highly affected by the existence of extreme values.

    Which one of the following is correct in respect of the above statements?

  3. Data can be represented in which of the following forms?

    1. Textual form

    2. Tabula form

    3. Graphical form

    Select the correct answer using the code given below.
  4. A graph of a cumulative frequency distribution is called :

  5. The formula to determine the number of classes given by Sturge’s Rule is which one of the following ?
    1) K = 1+ 3.322 (log N) 

    2) K= (log N) 1.322

    3)K = $\frac{1+3.322} {(log N)} $

    4) K = $\frac{3.322}{(log N) + 1} $ 

    Where :
    K = Number of classes
    N = Total number of observations
    $\log N$ = Logarithm of the total number of observations

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