Question

devon shared his data on how many touchdowns he scored in different games last school year. he had the following data: 2, 3, m, 2, 4, 3. if the mean is 3, what is m equal to?

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, $n = 6$, and the data - points are $2,3,m,2,4,3$, and $\bar{x}=3$.

Step2: Calculate the sum of known data - points

$2 + 3+2 + 4+3=14$.

Step3: Set up the equation for the mean

We know that $3=\frac{14 + m}{6}$.

Step4: Solve the equation for $m$

Multiply both sides of the equation by $6$: $3\times6=14 + m$, so $18=14 + m$. Then subtract $14$ from both sides: $m=18 - 14$.

Answer:

$m = 4$