If different values of variable x are 9.8, 5.4 , 3.7 , 1.7 , 1.8 , 2.6 , 2.8 , 10.5 and 11.1 , find
the mean `barx`

Answer

To find the mean (denoted as \(\bar{x}\)) of the given values of the variable \(x\), we will follow these steps:

### Step 1: List the values of \(x\)
The values provided are:
- \(9.8\)
- \(5.4\)
- \(3.7\)
- \(1.7\)
- \(1.8\)
- \(2.6\)
- \(2.8\)
- \(10.5\)
- \(11.1\)

### Step 2: Calculate the sum of the values
We need to add all the values together:

\[ \text{Sum} = 9.8 + 5.4 + 3.7 + 1.7 + 1.8 + 2.6 + 2.8 + 10.5 + 11.1 \]

Calculating step-by-step:
- \(9.8 + 5.4 = 15.2\)
- \(15.2 + 3.7 = 18.9\)
- \(18.9 + 1.7 = 20.6\)
- \(20.6 + 1.8 = 22.4\)
- \(22.4 + 2.6 = 25.0\)
- \(25.0 + 2.8 = 27.8\)
- \(27.8 + 10.5 = 38.3\)
- \(38.3 + 11.1 = 49.4\)

Thus, the total sum of the values is \(49.4\).

### Step 3: Count the number of observations
The number of observations (n) is the total count of values provided. In this case, there are \(9\) values.

### Step 4: Calculate the mean
Now, we can calculate the mean using the formula:

\[ \bar{x} = \frac{\text{Sum of values}}{n} = \frac{49.4}{9} \]

Calculating this gives:

\[ \bar{x} = 5.488888\ldots \approx 5.49 \text{ (rounded to two decimal places)} \]

### Final Answer
The mean \(\bar{x}\) of the given values is approximately \(5.49\).

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