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

Question

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

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Lyla 3 months 2021-07-06T16:29:11+00:00 1 Answers 0 views 0

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    2021-07-06T16:30:16+00:00

    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

     \sf{ \sum f_i = 1 + 2 + 3 + 4 = 10}

    Again

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

     \sf{ \implies \:  \sum f_ix_i = 13 + 30 + 57 + 68}

     \sf{ \implies \:  \sum f_ix_i =168}

    So the required arithmetic mean

     \displaystyle \sf{ =  \frac{\sum f_ix_i }{\sum f_i} }

     \displaystyle \sf{ = \frac{168}{10} }

     \displaystyle \sf{ =16.8}

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