Find the mean of natural numbers from 3 to 12.

Answer

To find the mean of natural numbers from 3 to 12, follow these steps:

### Step 1: Identify the natural numbers from 3 to 12.
The natural numbers between 3 and 12 are:
- 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

### Step 2: Count the total number of observations.
The total number of natural numbers from 3 to 12 is:
- Count: 10 (which includes all numbers listed above)

### Step 3: Calculate the sum of all the natural numbers from 3 to 12.
Now, we need to add these numbers together:
- Sum = 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12

Calculating the sum:
- 3 + 4 = 7
- 7 + 5 = 12
- 12 + 6 = 18
- 18 + 7 = 25
- 25 + 8 = 33
- 33 + 9 = 42
- 42 + 10 = 52
- 52 + 11 = 63
- 63 + 12 = 75

So, the total sum is 75.

### Step 4: Calculate the mean.
The mean is calculated by dividing the sum by the total number of observations:
- Mean = Sum of observations / Total number of observations
- Mean = 75 / 10 = 7.5

### Final Answer:
The mean of natural numbers from 3 to 12 is **7.5**.

---