Find the mean of first six multiples of 5

Answer

To find the mean of the first six multiples of 5, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the first six multiples of 5**:
The first six multiples of 5 are:
- 5 (5 × 1)
- 10 (5 × 2)
- 15 (5 × 3)
- 20 (5 × 4)
- 25 (5 × 5)
- 30 (5 × 6)

So, the numbers are: 5, 10, 15, 20, 25, 30.

2. **Calculate the sum of these multiples**:
Now, we will add these numbers together:
\[ 5 + 10 + 15 + 20 + 25 + 30 \]
Adding them step by step:
- \(5 + 10 = 15\)
- \(15 + 15 = 30\)
- \(30 + 20 = 50\)
- \(50 + 25 = 75\)
- \(75 + 30 = 105\)

Therefore, the sum is 105.

3. **Count the total number of multiples**:
We have 6 multiples (5, 10, 15, 20, 25, 30).

4. **Calculate the mean**:
The mean is calculated by dividing the sum of the numbers by the total count of the numbers:
\[ \text{Mean} = \frac{\text{Sum of the numbers}}{\text{Total count of numbers}} = \frac{105}{6} \]
Now, we perform the division:
\[ 105 \div 6 = 17.5 \]

5. **Conclusion**:
The mean of the first six multiples of 5 is **17.5**.