Question

probabilistic and statistical reasoning: includes classifying data, constructing appropriate representations of data probability, and describing measures of center and spread of data. 16. the average of 6, 12, and x is 8. what is the value of x? a. 6 b. 8 c. 10 d. 12

Explanation:

Step1: Recall the formula for the average

The formula for the average (mean) of a set of numbers \(a,b,c\) is \(\frac{a + b+ c}{3}\). Here, \(a = 6\), \(b = 12\), \(c=x\), and the average is \(8\). So we have the equation \(\frac{6 + 12+x}{3}=8\).

Step2: Solve the equation for \(x\)

Multiply both sides of the equation \(\frac{6 + 12+x}{3}=8\) by \(3\):
\(6 + 12+x=8\times3\)
\(6 + 12+x = 24\)
Combine like terms: \(18+x=24\)
Subtract \(18\) from both sides: \(x=24 - 18\)

Answer:

A. 6