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 value of `sum(x - barx)`

Answer

To solve the problem step by step, we will follow the procedure outlined in the video transcript.

### Step 1: List the values of x
We have the following values of variable x:
- 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 of x
We need to find the total sum of these values:
\[ \text{Sum} = 9.8 + 5.4 + 3.7 + 1.7 + 1.8 + 2.6 + 2.8 + 10.5 + 11.1 \]
Calculating this gives:
\[ \text{Sum} = 49.4 \]

### Step 3: Count the number of observations
We count the number of observations (n):
\[ n = 9 \]

### Step 4: Calculate the mean (x̄)
The mean (x̄) is calculated using the formula:
\[ \bar{x} = \frac{\text{Sum of observations}}{n} = \frac{49.4}{9} \]
Calculating this gives:
\[ \bar{x} \approx 5.49 \quad (\text{approximately } 5.4) \]

### Step 5: Create a table for x and x - x̄
Now, we will create a table with values of x and calculate \(x - \bar{x}\) for each value:
\[ \begin{array}{|c|c|c|} \hline x & \bar{x} & x - \bar{x} \\ \hline 9.8 & 5.4 & 9.8 - 5.4 = 4.4 \\ 5.4 & 5.4 & 5.4 - 5.4 = 0 \\ 3.7 & 5.4 & 3.7 - 5.4 = -1.7 \\ 1.7 & 5.4 & 1.7 - 5.4 = -3.7 \\ 1.8 & 5.4 & 1.8 - 5.4 = -3.6 \\ 2.6 & 5.4 & 2.6 - 5.4 = -2.8 \\ 2.8 & 5.4 & 2.8 - 5.4 = -2.6 \\ 10.5 & 5.4 & 10.5 - 5.4 = 5.1 \\ 11.1 & 5.4 & 11.1 - 5.4 = 5.7 \\ \hline \end{array} \]

### Step 6: Calculate the sum of (x - x̄)
Now, we need to find the sum of all the values of \(x - \bar{x}\):
\[ \text{Sum}(x - \bar{x}) = 4.4 + 0 + (-1.7) + (-3.7) + (-3.6) + (-2.8) + (-2.6) + 5.1 + 5.7 \]
Calculating this gives:
\[ \text{Sum}(x - \bar{x}) = 0.6 \]

### Final Answer
The value of \(\sum (x - \bar{x})\) is:
\[ \boxed{0.6} \]