the following data points represent the number of chicken nuggets on each family members plate. 1,3,0,6,? if…

Explanation:

Step1: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n$ is the number of data - points and $\sum_{i = 1}^{n}x_{i}$ is the sum of data - points. Here $n = 5$ and $\bar{x}=3$.

Step2: Calculate the sum of known data - points

The known data - points are $1,3,0,6$. Their sum is $1 + 3+0 + 6=10$.

Step3: Let the missing number be $x$

We know that $\bar{x}=\frac{10 + x}{5}$, and $\bar{x}=3$. So we set up the equation $\frac{10 + x}{5}=3$.

Step4: Solve the equation for $x$

Multiply both sides of the equation $\frac{10 + x}{5}=3$ by $5$: $10 + x=15$. Then subtract $10$ from both sides: $x=15 - 10=5$.

Answer:

5