Question

5/3,13/3,7/3,2/3,1/3​

Answer 1

SOLUTION

TO DETERMINE

The average of

$\displaystyle \sf{ \frac{5}{3} \:, \: \: \frac{13}{3} \: , \: \frac{7}{3} \: , \: \frac{2}{3} \:, \: \frac{1}{3} }$

EVALUATION

Here the given observations are

$\displaystyle \sf{ \frac{5}{3} \:, \: \frac{13}{3} \: , \: \frac{7}{3} \: , \: \frac{2}{3} \:, \: \frac{1}{3} }$

Sum of the observations

$\displaystyle \sf{ = \frac{5}{3} \: + \: \frac{13}{3} \: + \: \frac{7}{3} \: + \: \frac{2}{3} \: + \: \frac{1}{3} }$

$\displaystyle \sf{ = \frac{5 + 13 + 7 + 2 + 1}{3} \: }$

$\displaystyle \sf{ = \frac{28}{3} \: }$

Number of observations = 5

Hence the required average

$\displaystyle \sf{ = \frac{ \frac{28}{3}}{5} \: }$

$\displaystyle \sf{ = \frac{28}{15} \: }$

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