What is the median of 7,18,6,9,4,15,21,14,26 ?

Options

A. A)14
B. B)16
C. C)14.5
D. D)15

Answer

To find the median of the given set of numbers: 7, 18, 6, 9, 4, 15, 21, 14, 26, we can follow these steps:

### Step 1: Arrange the Data
First, we need to arrange the numbers in ascending order.

**Arranged Data:** 4, 6, 7, 9, 14, 15, 18, 21, 26

### Step 2: Count the Number of Terms
Next, we count how many numbers are in the set.

**Total Count (n):** 9

### Step 3: Determine if the Count is Odd or Even
Since the total count of numbers (n) is 9, which is odd, we will use the formula for finding the median in a set with an odd number of terms.

### Step 4: Calculate the Median Position
The position of the median can be found using the formula:
\[ \text{Median Position} = \frac{n + 1}{2} \]
Substituting the value of n:
\[ \text{Median Position} = \frac{9 + 1}{2} = \frac{10}{2} = 5 \]

### Step 5: Identify the Median
Now, we find the 5th term in our arranged list:
1. 4
2. 6
3. 7
4. 9
5. **14** (This is the 5th term)

Thus, the median of the given numbers is **14**.

### Final Answer
The median is **14**.

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