JEE Main & Advanced Mathematics Statistics Question Bank Median and Mode

  • question_answer
    For a continuous series the mode is computed by the formula

    A)                 \[l+\frac{{{f}_{m-1}}}{{{f}_{m}}-{{f}_{m-1}}-{{f}_{m+1}}}\times C\] or \[l+\left( \frac{{{f}_{1}}}{{{f}_{m}}-{{f}_{1}}-{{f}_{2}}} \right)\times i\]

    B)                 \[l=\frac{{{f}_{m}}-{{f}_{m-1}}}{{{f}_{m}}-{{f}_{m-1}}-{{f}_{m+1}}}\times C\] or \[l+\frac{{{f}_{m}}-{{f}_{1}}}{{{f}_{m}}-{{f}_{1}}-{{f}_{2}}}\times i\]

    C)                 \[l+\frac{{{f}_{m}}-{{f}_{m-1}}}{2{{f}_{m}}-{{f}_{m-1}}-{{f}_{m+1}}}\times C\] or \[l+\frac{{{f}_{m}}-{{f}_{1}}}{2{{f}_{m}}-{{f}_{1}}-{{f}_{2}}}\times i\]

    D)                  \[l+\frac{2{{f}_{m}}-{{f}_{m-1}}}{{{f}_{m}}-{{f}_{m-1}}-{{f}_{m+1}}}\times C\] or \[l+\frac{2{{f}_{m}}-{{f}_{1}}}{{{f}_{m}}-{{f}_{1}}-{{f}_{2}}}\times i\]

    Correct Answer: C

    Solution :

                    It is obvious.


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