High School

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------------------------------------------------ Find the mean, [tex]X[/tex], of the data set:

198, 190, 245, 211, 193, 193

[tex]X = \, ?[/tex]

Answer :

To find the mean [tex]\( X \)[/tex] of the given data set, follow these steps:

1. List the Data:
The given data points are: 198, 190, 245, 211, 193, and 193.

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

3. Count the Number of Data Points:
There are 6 numbers in the data set.

4. Calculate the Mean:
The mean is calculated by dividing the sum of the data by the number of data points.
[tex]\[
\text{Mean } (X) = \frac{\text{Sum of the data}}{\text{Number of data points}} = \frac{1230}{6} = 205.0
\][/tex]

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

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