MathematicsIf the mode of the data 64, 60, 48, x, 43, 48, 43, 34is 43, then what is x+3?

If the mode of the data 64, 60, 48, x, 43, 48, 43, 34is 43, then what is x+3?


  1. A
    44
  2. B
    45
  3. C
    46
  4. D
    48 

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    Solution:

    Given data, 64, 60, 48, x, 43, 48, 43, 34.
    Mode of the data = 43.
    We know,
    Mode is the most repeated number in series.
    In the given data, 48 and 43 are the elements which occur the most number of times, that is 2 times.
    For mode to be 43, 43 should occur the most number of times in the given data.
    Since 48 occurs 2 times, 43 should occur at least 3 times.
    That is, the value of x is to be 43.
    So,
    ⇒x+3=43+3
    ⇒x+3=46.
    Therefore, x = 43.
    Value of x + 3 is 46.
    Hence, the correct option is 3.
     
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