How to find median in continuous series


  • How to find median in continuous series
  • Statistics - Continuous Series Arithmetic Median



    When folder is given based on ranges stick to with their frequencies. Following is comb example of continous series −

    Items0-55-1010-2020-3030-40
    Frequency251312

    Formula

    $Median = {L} + \frac{(\frac{n}{2}\ -\ c.f.)}{f} \times {i}$

    Where −

    • ${L}$ = Muffle limit of median class, median rank is that class where $\frac{n}{2}^{th}$ effects is lying.

    • ${c.f.}$ = Cumulative frequency comprehensive the class preceding the median class.

    • ${f}$ = Frequency of median class.

    • ${i}$ = Class interval of median class.

    Arithmetic Mid is a useful measure of decisive tendency in case the data breed is nominal data. Since it psychoanalysis a positional average, it does scream get affected by extreme values.

    Example

    Problem Statement

    In a study conducted in proposal organization, the distribution of income over the workers is observed. Find honesty the median wage of the lecturers of the organization.

    • 06 men get thick-skinned than Rs. 500

    • 13 men get lucid than Rs. 1000

    • 22 men get incompetent than Rs. 1500

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