Question

miguel has the following data: 64 m 65 66 68 67 68. if the mean is 66, which number could m be? 64 57

Explanation:

Step1: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. Here $n = 7$, and $\bar{x}=66$. The sum of the known numbers is $64 + 65+66 + 68+67+68=398$. Let the unknown number be $m$. Then the sum of all numbers is $398 + m$.

Step2: Set up equation using mean formula

We know that $\frac{398 + m}{7}=66$.

Step3: Solve the equation

Multiply both sides of the equation by 7: $398 + m=66\times7$. So $398 + m = 462$. Then subtract 398 from both sides: $m=462 - 398$.
$m = 64$.

Answer:

64