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What is the mean of the data set rounded to the nearest tenth?

[tex]\[
\begin{array}{llllll}
1.2 & 1.8 & 1.6 & 1.4 & 1.4 & 2.2
\end{array}
\][/tex]

A. 9.6
B. 1.4
C. 1.5
D. 1.6

Sagot :

GinnyAnsweridn
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]
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