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The following data points represent the volume of gas in each race car driver's tank (in liters).
4, 5, 13, ?
If the mean of the data set is 7 L. find the missing volume of gas.
L
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Answer 1

The missing value is 6!

Explanation:

First, we know that there are 4 values in total, so we must multiply the mean, 7, by 4 to get the total sum of all the values. (7*4=28)

Now, we can write this as a function, where we can represent the missing value as 'x'.

`4+5+13+x=28`

In order to get the missing value, we must solve the equation.

Step 1: Simplify.

`4+5+13+x=28\\22+x=28`

Step 2: Subtract 22 from both sides.

`22+x=28\\22+x-22=28-22\\x=6`

x is equal to 6, which means the missing volume of gas is 6!