Question

meansquestion attached below What score would you need on the next quiz to have an overall mean of 65?If the maximum score on a quiz is 90 is it possible to have a mean of 70 after the fifth quiz?

Answer 1

Mean: Add the numbers and then divide it into how many numbers there are.

$\frac{60+65+70+60}{4}=\frac{255}{4}=63.75$

The mean of the given scores is 63.75

What score would you need on the next quiz to have an overall mean of 65?

Let x be the score of the next quiz:

$\frac{60+65+70+60+x}{5}=65$

Solve the equation above for x:

$\begin{gathered} \frac{255+x}{5}=65 \\ \\ 255+x=65\cdot5 \\ 255+x=325 \\ x=325-255 \\ x=70 \end{gathered}$

Then, you would need a score of 70 in the next quiz

If the maximum score on a quiz is 90 is it possible to have a mean of 70 after the fifth​ quiz?

If the maximum score is 90, use 90 as the score of the 5th quiz and calculate the mean:

$\frac{60+65+70+60+90}{5}=\frac{345}{5}=69$Then, it is not possible to have a mean of 70 with a maximum score of 90 in 5th quiz