What is the median of the following list of numbers : 55,53,56,59,61,69, and 31 ?
A. 55
B. 56
C. 59
D. 61

Options

A. B
B. A
C. D
D. C

Answer

To find the median of the list of numbers: 55, 53, 56, 59, 61, 69, and 31, we can follow these steps:

### Step 1: Arrange the numbers in ascending order
First, we need to sort the numbers from the smallest to the largest.

**Numbers in ascending order:** 31, 53, 55, 56, 59, 61, 69

### Step 2: Count the number of terms
Next, we count how many numbers are in the list.

**Number of terms:** 7

### Step 3: Determine if the number of terms is odd or even
Since there are 7 terms, we see that the number of terms is odd.

### Step 4: Find the median
For a list with an odd number of terms, the median is the middle number. The middle number can be found using the formula:

\[ \text{Median position} = \frac{n + 1}{2} \]

Where \( n \) is the number of terms. Here, \( n = 7 \).

\[ \text{Median position} = \frac{7 + 1}{2} = \frac{8}{2} = 4 \]

So, the median is the 4th number in the sorted list.

**4th number in the sorted list:** 56

### Conclusion
The median of the numbers is **56**.