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    ​Find the mode if mean and median are 4 and 5 respectively. ​
    Question

    Find the mode if mean and median are 4 and 5 respectively.

    A.

    9

    B.

    7

    C.

    11

    D.

    5

    Correct option is B

    Given:

    Mean and median are 4 and 5 respectively.

    Concept used:

    Empirical Formula :

    Mode = 3 × Median − 2 × Mean

    Solution:

    Mode = 3 × Median − 2 × Mean

    Mode = 3 × 5 − 2 × 4

    Mode = 15 − 8 = 7

    The mode is 7.

    Thus, correct answer is (b) 7

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