Find the mean of the following data:
22, 29, 31, 35, 28, 29

Options

A. 28.5
B. 29
C. 26
D. 27

Answer

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

### Step 1: List the Data
The data provided is:
- 22, 29, 31, 35, 28, 29

### Step 2: Calculate the Sum of the Data
We will add all the numbers together:
\[ 22 + 29 + 31 + 35 + 28 + 29 \]

Calculating this step-by-step:
- \(22 + 29 = 51\)
- \(51 + 31 = 82\)
- \(82 + 35 = 117\)
- \(117 + 28 = 145\)
- \(145 + 29 = 174\)

So, the sum of the data is \(174\).

### Step 3: Count the Number of Data Points
Next, we count how many numbers are in the data set. There are 6 numbers.

### Step 4: Calculate the Mean
The mean is calculated by dividing the sum of the data by the number of data points:
\[ \text{Mean} = \frac{\text{Sum of Data}}{\text{Number of Data Points}} = \frac{174}{6} \]

Now, we perform the division:
\[ 174 \div 6 = 29 \]

### Conclusion
The mean of the given data set is \(29\).

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