Find the mean and median of first 10 multiple of 3 between 0 and 60.

Answer

To find the mean and median of the first 10 multiples of 3 between 0 and 60, we will follow these steps:

### Step 1: Identify the first 10 multiples of 3
The multiples of 3 are obtained by multiplying 3 with the integers starting from 1. The first 10 multiples of 3 are:
- 3 × 1 = 3
- 3 × 2 = 6
- 3 × 3 = 9
- 3 × 4 = 12
- 3 × 5 = 15
- 3 × 6 = 18
- 3 × 7 = 21
- 3 × 8 = 24
- 3 × 9 = 27
- 3 × 10 = 30

So, the first 10 multiples of 3 are: **3, 6, 9, 12, 15, 18, 21, 24, 27, 30**.

### Step 2: Calculate the mean
The mean is calculated by taking the sum of all the elements and dividing it by the total number of elements.

1. **Sum the elements**:
\[ 3 + 6 + 9 + 12 + 15 + 18 + 21 + 24 + 27 + 30 = 165 \]

2. **Count the number of elements**:
There are 10 elements.

3. **Calculate the mean**:
\[ \text{Mean} = \frac{\text{Sum of elements}}{\text{Number of elements}} = \frac{165}{10} = 16.5 \]

### Step 3: Calculate the median
The median is the middle value of a data set. Since we have an even number of elements (10), the median will be the average of the 5th and 6th elements.

1. **Identify the 5th and 6th elements**:
- The 5th element is 15.
- The 6th element is 18.

2. **Calculate the median**:
\[ \text{Median} = \frac{\text{5th element} + \text{6th element}}{2} = \frac{15 + 18}{2} = \frac{33}{2} = 16.5 \]

### Final Results
- **Mean**: 16.5
- **Median**: 16.5