To solve the question of finding the mean of the given data set rounded to the nearest tenth, let us proceed step-by-step.
First, let's identify the data set:
[tex]\[
1.2, 1.8, 1.6, 1.4, 1.4, 2.2
\][/tex]
### Step 1: Calculate the mean
The mean (average) is calculated by summing all the values in the data set and then dividing by the number of values.
[tex]\[
\text{Sum of the data set} = 1.2 + 1.8 + 1.6 + 1.4 + 1.4 + 2.2
\][/tex]
Next, sum these values:
[tex]\[
1.2 + 1.8 + 1.6 + 1.4 + 1.4 + 2.2 = 9.6
\][/tex]
Now, count the number of data points in the set. There are 6 values.
So, the mean is given by:
[tex]\[
\text{Mean} = \frac{\text{Sum of the data set}}{\text{Number of data points}} = \frac{9.6}{6} = 1.6
\][/tex]
### Step 2: Round the mean to the nearest tenth
Here, the mean is [tex]\(1.6\)[/tex]. To round this to the nearest tenth, we observe the value right after the decimal point:
[tex]\[
1.6 \text{ (already at the nearest tenth place)}
\][/tex]
So, the mean of the data set rounded to the nearest tenth is [tex]\(1.6\)[/tex].
### Conclusion:
After following the steps, we find that the mean of the data set rounded to the nearest tenth is:
[tex]\[
\boxed{1.6}
\][/tex]
