Question

The scores of $7$ students have been recorded, of which the scores of two students are unknown. The data so obtained is recorded as follows:


If the mean of their scores is $25$, then what will be the sum of scores of George and Max?

• A. $25$
• B. $27$
• C. $50$
• D. $45$

Answer 1

The correct option is C $50$

The mean of the data is calculated as,

$\text{Mean}=\frac{\text{Sum of all data points}}{\text{Total number of data points}}$

Given the mean of the data set is $25$.

Observe the given data, and substitute the given values in the formula of mean.

$\begin{array}{cc}25& =\frac{27+26+x+22+20+y+30}{7}\\ 25\times 7& =125+x+y\\ 175& =125+x+y\\ 175-125& =x+y\\ 50& =x+y\end{array}$

Therefore, the sum of George's and Max's score is $50$.

So, option (c) is correct.