College

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

198, 190, 245, 211, 193, 193

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

Answer :

We are given the data values:
$$198,\; 190,\; 245,\; 211,\; 193,\; 193.$$

**Step 1: Compute the Sum**

Add all the values together:
$$198 + 190 + 245 + 211 + 193 + 193 = 1230.$$

**Step 2: Count the Number of Data Points**

There are 6 values in the data.

**Step 3: Calculate the Mean**

The mean $X$ is computed by dividing the sum by the number of data points:
$$X = \frac{\text{Sum of values}}{\text{Number of values}} = \frac{1230}{6} = 205.$$

Thus, the mean of the data is:
$$X = 205.$$