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The following data points represent the number of remote controllers each student in Lena's video game club owns.

1,0,3,?
If the mean of the data set is 2 remote controllers, find the missing number of remote controllers.
remote controllers

The following data points represent the number of remote controllers each student in Lena's video game club owns. $\newline$ $1,0,3, ?$ $\newline$ If the mean of the data set is $2$ remote controllers, find the missing number of remote controllers. $\newline$ remote controllers

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

Full solution

Q. The following data points represent the number of remote controllers each student in Lena's video game club owns.

\newline

1,0,3, ?

\newline

If the mean of the data set is

2

remote controllers, find the missing number of remote controllers.

\newline

remote controllers

Given Data Set: We are given the data set: $1, 0, 3, ?$ $\newline$ We need to find the value of the missing data point, denoted by $?$ , such that the mean of the data set is $2$ remote controllers. $\newline$ The number of terms in the data set is $4$ (including the missing value). $\newline$ The mean formula is: Mean $=$ (Sum of all terms) $/$ (Number of terms)
Mean Formula Equation: Using the mean formula, we can set up an equation to find the missing value: $\newline$ $2 = \frac{1 + 0 + 3 + ?}{4}$
Multiply by $4$ : Multiply both sides of the equation by $4$ to solve for the missing value: $\newline$ $2 \times 4 = (1 + 0 + 3 + ?)$ $\newline$ $8 = 4 + ?$
Isolate Missing Value: Subtract $4$ from both sides of the equation to isolate the missing value: $\newline$ $8 - 4 = 4 + ? - 4$ $\newline$ $4 = ?$

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