Question

Anil played 8 cricket matches. The mean (average) of the runs was found to be 80. After playing four more matches, the mean of the runs of all the matches was found to be 70. The total runs made in the last four matches is

Answer 1

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Answer 2

Answer:

The total runs made in the last four matches is 200

Step-by-step explanation:

The formula for mean (average) is given by

$\text{mean}=\frac{\text{Sum of observativation}}{\tex{Total number of observations}}$

Now, we have been given that the mean of the 8 cricket matches is 80. Hence, we have

$80=\frac{\text{Sum of observativation}}{8}\\\\\text{Sum of observativation}=80\times8\\\\\text{Sum of observativation}=640$

Let the runs made in the next four matches is x.

Mean of 12 matches is 70. Hence, we have

$70=\frac{\text{Sum of observations+x}}{12}\\\\70=\frac{640+x}{12}\\\\640+x=840\\\\x=200$

The total runs made in the last four matches is 200