High School

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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, follow these steps:

1. List the Data Points: The data set is 198, 190, 245, 211, 193, 193.

2. Calculate the Sum of the Data:
Add all the data points together:
[tex]\[
198 + 190 + 245 + 211 + 193 + 193 = 1230
\][/tex]

3. Count the Number of Data Points:
The number of data points is 6.

4. Calculate the Mean:
Divide the sum of the data by the number of data points to find the mean:
[tex]\[
\bar{x} = \frac{1230}{6} = 205.0
\][/tex]

Therefore, the mean, [tex]$\bar{x}$[/tex], of the data is 205.0.

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