Median of Ungrouped Data


 
 
Concept Explanation
 

Median of Ungrouped Data

Median Of An Ungrouped Data:

 The median is that value of the given number no of observations  ,which divides it into exactly two parts. Median of a given no of observations arranged in ascending or descending order ,is the middle most observation. If there are two middle most observation ,then median is the average of these two observations  .

Illustration:  If the values x_{i}  in the raw data are arranged in order of increasing or decreasing magnitude, then the middle, most value in the arrangement is called the median.

Thus, for the ungrouped data x_{1},x_{2},....,x_{n}, the median is computed by using the following algorithm.

Algorithm

  • Step 1  : Arrange the observations ( values of the variate ) in ascending or descending order of magnitude.
  • Step 2  : Determine the total number of observations, say, n
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    Sample Questions
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    Question : 1

    The median of the following data 46, 64, 87, 41, 58, 77, 35, 90, 55, 33, 92 is _____________

    Right Option : C
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    Question : 2

    If in a data, 10 numbers arranged in increasing order. If the 7th entry is increased by 4, then the median increased by ________________

    Right Option : A
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    Question : 3

    The weight (in kg) of 5 men are 62, 65, 69, 66 and 61. The median is ______________

    Right Option : C
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    Explanation
     
     


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