The arithmetic mean between 4and 14 is……………..

Answer

To find the arithmetic mean between the numbers 4 and 14, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Numbers**: The two numbers given are 4 and 14.

2. **Use the Arithmetic Mean Formula**: The formula for the arithmetic mean (AM) of two numbers A and B is given by:
\[ \text{AM} = \frac{A + B}{2} \]

3. **Substitute the Values**: Substitute A = 4 and B = 14 into the formula:
\[ \text{AM} = \frac{4 + 14}{2} \]

4. **Calculate the Sum**: First, calculate the sum of 4 and 14:
\[ 4 + 14 = 18 \]

5. **Divide by 2**: Now, divide the sum by 2 to find the arithmetic mean:
\[ \text{AM} = \frac{18}{2} = 9 \]

6. **Final Answer**: Therefore, the arithmetic mean between 4 and 14 is:
\[ \text{AM} = 9 \]