Find the median of first 7 prime numbers.

Options

A. 6
B. 7
C. 8
D. 9

Answer

To find the median of the first 7 prime numbers, we can follow these steps:

### Step 1: Identify the first 7 prime numbers
The first 7 prime numbers are:
1. 2
2. 3
3. 5
4. 7
5. 11
6. 13
7. 17

### Step 2: Count the number of observations
We have a total of 7 prime numbers.

### Step 3: Determine if the number of observations is odd or even
Since 7 is an odd number, we will use the formula for finding the median for an odd number of observations.

### Step 4: Use the median formula
The formula for finding the median when the number of observations (n) is odd is:
\[ \text{Median} = \frac{n + 1}{2} \text{th term} \]
Here, \( n = 7 \).

### Step 5: Calculate the position of the median
Now, we calculate:
\[ \frac{7 + 1}{2} = \frac{8}{2} = 4 \]
This means the median is the 4th term in the ordered list of prime numbers.

### Step 6: Find the 4th term
Looking at our list of the first 7 prime numbers:
1. 2
2. 3
3. 5
4. 7
5. 11
6. 13
7. 17

The 4th term is **7**.

### Conclusion
Thus, the median of the first 7 prime numbers is **7**.

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