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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. The class marks in a frequency table are given to be 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. The class limits of the first five classes are

  2. In a test in Mathematics, 20% of the students obtained “first class”. If the data are represented by a Pie-Chart, what is the central angle corresponding to “first class”?

  3. The following table gives the monthly expenditure of two families:

    Expenditure (in Rs.)

    Items

    Family A

    Family B

    Food

    3,500

    2,700

    Clothing

    500

    800

    Rent

    1,500

    1,000

    Education

    2,000

    1,800

    Miscellaneous

    2,500

    1,800

    In constructing a pie diagram to the above data, the radii of the circles are to be chosen by which one of the following ratios?

  4. In an examination, 40% of candidates got second class. When the data are represented by a pie chart, what is the angle corresponding to second class?

  5. Following histogram shows certain frequency distribution against class intervals.

    The approximated mean of this distribution is:

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