High School

Find the mean, [tex]\bar{x}[/tex], of the data.

[tex]
\[
\begin{array}{c}
198, 190, 245, 211, 193, 193 \\
\bar{x} = [?]
\end{array}
\]
[/tex]

Answer :

To find the mean, [tex]\(\bar{x}\)[/tex], of the given data set [tex]\(198, 190, 245, 211, 193, 193\)[/tex], follow these steps:

1. Add all the numbers together:
[tex]\[
198 + 190 + 245 + 211 + 193 + 193 = 1230
\][/tex]

2. Count how many numbers there are in the data set:
- There are 6 numbers.

3. Divide the sum by the number of values:
[tex]\[
\bar{x} = \frac{1230}{6} = 205.0
\][/tex]

So, the mean of the data is [tex]\(205.0\)[/tex].