Question

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

Answer 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

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

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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