Question

what is the mean of this set: {2, 6, 7, 9, 9, 9}?

Explanation:

Step1: Calculate the sum of the data set

$$2 + 6+7 + 9+9 + 9=42$$

Step2: Calculate the number of data points

There are \(n = 6\) data points in the set \(\{2,6,7,9,9,9\}\).

Step3: Use the mean formula

The mean formula is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=42\) and \(n = 6\) into the formula: \(\bar{x}=\frac{42}{6}=7\)

Answer:

\(7\)