Find the median of prime number between 29 and 60.

Answer

To find the median of prime numbers between 29 and 60, we will follow these steps:

### Step 1: Identify the prime numbers between 29 and 60.
Prime numbers are those greater than 1 that have exactly two factors: 1 and the number itself.

- The prime numbers between 29 and 60 are:
- 31 (factors: 1, 31)
- 37 (factors: 1, 37)
- 41 (factors: 1, 41)
- 43 (factors: 1, 43)
- 47 (factors: 1, 47)
- 53 (factors: 1, 53)
- 59 (factors: 1, 59)

Thus, the list of prime numbers is: **31, 37, 41, 43, 47, 53, 59**.

### Step 2: Count the number of prime numbers.
We count the total number of prime numbers we found:
- Total prime numbers = 7.

### Step 3: Determine if the count is odd or even.
Since we have 7 prime numbers, which is an odd number, we will use the formula for finding the median in a set of odd numbers.

### Step 4: Calculate the position of the median.
For an odd number of terms, the median is given by the formula:
\[ \text{Median position} = \frac{n + 1}{2} \]
Where \( n \) is the total number of terms.

Substituting \( n = 7 \):
\[ \text{Median position} = \frac{7 + 1}{2} = \frac{8}{2} = 4 \]

### Step 5: Find the 4th term in the sorted list.
Now, we will find the 4th term in our sorted list of prime numbers:
- The sorted list is: **31, 37, 41, 43, 47, 53, 59**.
- The 4th term is **43**.

### Conclusion:
Thus, the median of the prime numbers between 29 and 60 is **43**.

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