Find the median of 25,16,26, 16, 32, 31, 19, 28 and 35

Answer

To find the median of the given data set: 25, 16, 26, 16, 32, 31, 19, 28, and 35, we can follow these steps:

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

**Sorted Data:** 16, 16, 19, 25, 26, 28, 31, 32, 35

### Step 2: Count the number of observations (n).
Next, we count how many numbers are in the data set.

**Count of Observations:** There are 9 numbers in total.

### Step 3: Determine if n is odd or even.
Since we have 9 observations, we can see that 9 is an odd number.

### Step 4: Use the median formula for odd n.
For an odd number of observations, the median can be found using the formula:
\[ \text{Median} = \frac{n + 1}{2} \text{th term} \]

Substituting the value of n:
\[ \text{Median} = \frac{9 + 1}{2} = \frac{10}{2} = 5 \]

### Step 5: Identify the 5th term in the sorted list.
Now, we need to find the 5th term in our sorted data set.

**5th Term:** The sorted list is 16, 16, 19, 25, 26, 28, 31, 32, 35. The 5th term is 26.

### Final Answer:
Thus, the median of the given data set is **26**.

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