Question

A coach calculated the mean and the mode of the number of points scored by 6 players.

• mean: 7 points
mode: 8 points
How many points did player 5 score?

Answer 1

5 points

Step-by-step explanation:
Mean = average
Equation: total points scored/total players
Mean=7+8+6+8+?+8/6

The mean is given: 7

So plug it in:
7=(7+8+6+8+?+8)/6

Factor to solve:

Add all the numbers together to leave just the missing number (?)
7=(37+?)/6

To get rid of the 6 multiply it over to the other side
6x7=37+?
42=37+?

Now subtract the 37 to the other side to find the missing number (?)
42-37=?
5=?

Now let’s check:
7+8+6+8+(5)+8=42
Add:
42
Now divide by 6
42/6=
7
Is 7 the mean they gave us? Yup!
So player 5 scored 5 points

Answer 2

5 points
Because 8+8+8+6+7+5=42
Then divide that by 6 to get the mean - so 42/6=7 so that’s the correct mean