For the data 13,15,19and17.If the consecutive frequencies are 1,2,3,4.Then the arthemetic mean is​

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1. SOLUTION

   GIVEN

   For the data 13 , 15 , 19 and 17 the consecutive frequencies are 1 , 2 , 3 , 4

   TO DETERMINE

   The arithmetic mean

   EVALUATION

   Here it is given that for the data 13 , 15 , 19 and 17 the consecutive frequencies are 1 , 2 , 3 , 4

   Now

   [tex] \sf{ \sum f_i = 1 + 2 + 3 + 4 = 10}[/tex]

   Again

   [tex] \sf{ \sum f_ix_i = (13 \times 1) + (15 \times 2) + (19 \times 3) + (17 \times 4)}[/tex]

   [tex] \sf{ \implies \: \sum f_ix_i = 13 + 30 + 57 + 68}[/tex]

   [tex] \sf{ \implies \: \sum f_ix_i =168}[/tex]

   So the required arithmetic mean

   [tex] \displaystyle \sf{ = \frac{\sum f_ix_i }{\sum f_i} }[/tex]

   [tex] \displaystyle \sf{ = \frac{168}{10} }[/tex]

   [tex] \displaystyle \sf{ =16.8}[/tex]

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