Question

Five scores have the same mean and median. If the four lowest scores are 20, 30, 50, and 60, what is thehighest score?

Answer 1

Let's call the highest score 'x'.

The scores in the crescent order would be:

20, 30, 50, 60, x.

So the median of those scores is 50.

If the mean and median are equal, we have that the mean is also 50, so we can find the value of x using:

`\begin{gathered} 50=(20+30+50+60+x)/(5) \\ 250=20+30+50+60+x \\ 250=160+x \\ x=250-160=90 \end{gathered}`

So the highest score is 90.