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 7L, find the missing volume of gas. L

Given Data Points: We are given the following data points for the volume of gas in each race car driver's tank: 4, 5, 13, and an unknown value represented by ?. We are also given that the mean volume of gas is 7 liters. To find the missing volume, we will use the formula for the mean, which is the sum of all data points divided by the number of data points.Calculate Sum: First, let's calculate the sum of the given data points without the missing value: 4 + 5 + 13 = 22 liters.Total Sum Calculation: Since the mean is 7 liters and there are 4 data points including the missing value, the total sum of all data points should be 7 liters times 4 data points, which equals 28 liters.Set Up Equation: Now, we can set up an equation to find the missing value (?). Let the missing value be represented by x. The equation will be: 22 (sum of known data points) + x (missing value) = 28 (total sum required for the mean to be 7 liters).Solve for Missing Value: Solving for x, we get: x = 28 - 22.Calculate Missing Value: Calculating the value of x, we find that x = 6 liters. This is the missing volume of gas needed for the mean of the data set to be 7 liters.

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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
7L, find the missing volume of gas.

L

The following data points represent the volume of gas in each race car driver's tank (in liters). $\newline$ $4,5,13, ?$ $\newline$ If the mean of the data set is $7 \mathrm{~L}$ , find the missing volume of gas. $\newline$ L

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Grade 8

Mean, median, mode, and range: find the missing number

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Q. The following data points represent the volume of gas in each race car driver's tank (in liters).

\newline

4,5,13, ?

\newline

If the mean of the data set is

7 \mathrm{~L}

, find the missing volume of gas.

\newline

Given Data Points: We are given the following data points for the volume of gas in each race car driver's tank: $4$ , $5$ , $13$ , and an unknown value represented by $?$ We are also given that the mean volume of gas is $7$ liters. To find the missing volume, we will use the formula for the mean, which is the sum of all data points divided by the number of data points.
Calculate Sum: First, let's calculate the sum of the given data points without the missing value: $4 + 5 + 13 = 22$ liters.
Total Sum Calculation: Since the mean is $7$ liters and there are $4$ data points including the missing value, the total sum of all data points should be $7$ liters times $4$ data points, which equals $28$ liters.
Set Up Equation: Now, we can set up an equation to find the missing value (?). Let the missing value be represented by $x$ . The equation will be: $22$ (sum of known data points) + $x$ (missing value) = $28$ (total sum required for the mean to be $7$ liters).
Solve for Missing Value: Solving for $x$ , we get: $x = 28 - 22$ .
Calculate Missing Value: Calculating the value of $x$ , we find that $x = 6$ liters. This is the missing volume of gas needed for the mean of the data set to be $7$ liters.