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
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    Sample Questions
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    Question : 1

    The frequency table shows the number of passengers in each of the 40 taxis that were inspected during a police road - block. Find the value of x.  

    Number of Passengers01234
    Number of taxis3810x7

     

    Right Option : C
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    Question : 2

    A random survey of numbers of children of various age group playing in a park was found as follows. Children playing under the age of 17 years are:

    Age No. of Children
    1 - 2 5
    2 - 3 3
    3 - 5 6
    5 - 7 12
    7 - 10 9
    10 - 15 10
    15 - 17 4
    Right Option : C
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    Question : 3

    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 less than 5 hours?

    Right Option : D
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