What will be the Value of M? If

The frequency distribution data is given below. If the average age is 17 years, the value of m is
Age (in year) : 8   20   26   29
Number of people: 3   2   m   1

  1. 1
  2. 2
  3. 3
  4. 4
Manish Listener Asked on 15th July 2015 in Maths.
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  • 1 Answer(s)

    Answer: (1). 1

    The frequency distribution table

    No. of peoples.       ( Xi ) ; 8 , 20, 26, 29
    Frequency in age ( Fi  ): 3,  2,    m,   1

    sigma( Fi * Xi ) = 93 +26m,  sigma ( Xi ) = 6 + m

    Mean ( average ) = sigma.( Fi * Xi ) / sigma.( Xi )
     17  = 93 + 26m / 6 + m 

    on multiply ing 17 on both sides, we get
        93 + 26m = 102 + 17 m 
                               ( 26 – 17 )m = 9
                                      9m = 9 
                                         m = 1.
    Hence, the value of m is 1.

    vijay Professor Answered on 15th July 2015.
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