Frequency Distribution


 
 
Concept Explanation
 

Frequency Distribution

Frequency Distribution: 

Frequency table or frequency distribution is a method to present raw data in the form, from which on can easily understand the information contained in the raw data.  Frequency distributions are of two types:

  • (i) Discrete or ungrouped frequency distribution
  • (ii) Continuous or grouped frequency distribution
  • Discrete Frequency Distribution :

    The process of preparing this type of distribution is very simple. The construction of a discrete frequency distribution from the given raw data is done by the use of the method of tally marks. In the first column of the frequency table we write all possible values of the variable from the lowest to the highest.

    Illustration : Draw a discrete frequency distribution of the number of children in 20 families:  1,1,2,3,4,3,2,1,1,4,5,2,4,2,2,1,3,3,2,5

    Solution : The data may be put in the form of a discrete frequency distribution as follows:

    No. of children

    Tally bars

    Frequency

    1 5
    2 6
    3 IIII 4
    4 III 3
    5 II 2
    .... (More Text Available, Login?)
    Sample Questions
    (More Questions for each concept available in Login)
    Question : 1

    30 children were asked about the number of hours, they watched TV programs in previous week. The results are as follows: 1, 6, 2, 3, 5, 12, 5, 8, 4, 8 10, 3, 4, 12, 2, 8, 15, 1, 17, 6, 3, 2, 8, 5, 9, 6, 8, 7, 14, 12. How many children watch TV more than 5 hours?

    Right Option : B
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    Question : 2

    Given below are the marks secured by 20 students in a test. 20, 26, 49, 44, 12, 17, 22, 10, 5, 47, 33, 32, 23, 34, 45, 16, 4, 8, 21, 28. How many students are there who secured less than 20 marks ?

    Right Option : A
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    Question : 3

    The frequency table shows the marks obtained by a group of students in a monthly test. Calculate the percentage of students who failed the test if 40 is the passing mark. 

    MarksNumber of students
    0-195
    20-297
    40-5914
    60-7911
    80-993
    Right Option : D
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