Find out the average of 2, 4, 6, 8,10,12 and 14.

Answer

To find the average of the numbers 2, 4, 6, 8, 10, 12, and 14, we will follow these steps:

### Step 1: List the numbers
The numbers we need to find the average of are:
2, 4, 6, 8, 10, 12, and 14.

### Step 2: Calculate the sum of the numbers
Now, we will add all these numbers together:
\[ 2 + 4 + 6 + 8 + 10 + 12 + 14 \]

Calculating this step-by-step:
- \(2 + 4 = 6\)
- \(6 + 6 = 12\)
- \(12 + 8 = 20\)
- \(20 + 10 = 30\)
- \(30 + 12 = 42\)
- \(42 + 14 = 56\)

So, the sum of the numbers is:
\[ 56 \]

### Step 3: Count the total number of observations
Next, we need to count how many numbers we have:
The numbers are 2, 4, 6, 8, 10, 12, and 14, which gives us a total of:
\[ 7 \text{ observations} \]

### Step 4: Calculate the average
Now, we will use the formula for average:
\[ \text{Average} = \frac{\text{Sum of observations}}{\text{Total number of observations}} \]
Substituting the values we found:
\[ \text{Average} = \frac{56}{7} \]

### Step 5: Perform the division
Now, we will divide 56 by 7:
\[ 56 \div 7 = 8 \]

### Conclusion
Thus, the average of the numbers 2, 4, 6, 8, 10, 12, and 14 is:
\[ \text{Average} = 8 \]

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