The mean of the data 8, 0, 3, 3, 1, 7, 4, 1, 4, 4 is:

Options

A. 3
B. 3.5
C. 3.75
D. 3.25

Answer

To find the mean of the given data set, we will follow these steps:

### Step 1: Identify the data set
The data set provided is: 8, 0, 3, 3, 1, 7, 4, 1, 4, 4.

### Step 2: Calculate the sum of all observations
We will add all the numbers in the data set together:
\[ 8 + 0 + 3 + 3 + 1 + 7 + 4 + 1 + 4 + 4 \]

Calculating this step-by-step:
- \(8 + 0 = 8\)
- \(8 + 3 = 11\)
- \(11 + 3 = 14\)
- \(14 + 1 = 15\)
- \(15 + 7 = 22\)
- \(22 + 4 = 26\)
- \(26 + 1 = 27\)
- \(27 + 4 = 31\)
- \(31 + 4 = 35\)

So, the total sum is \(35\).

### Step 3: Count the number of observations
Next, we need to count how many numbers are in the data set. The data set has:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10 (which totals to 10 observations).

### Step 4: Calculate the mean
Now, we will divide the sum of the observations by the number of observations:
\[ \text{Mean} = \frac{\text{Sum of observations}}{\text{Number of observations}} = \frac{35}{10} \]

Calculating this gives:
\[ \text{Mean} = 3.5 \]

### Conclusion
The mean of the data set is \(3.5\).