Find the median of 63, 17, 50, 9, 25, 43, 21, 50, 14 and 34

Answer

To find the median of the given data set: 63, 17, 50, 9, 25, 43, 21, 50, 14, and 34, we will follow these steps:

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

**Data in ascending order:**
9, 14, 17, 21, 25, 34, 43, 50, 50, 63

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

**Number of observations (n):** 10

### Step 3: Determine if n is odd or even
Since we have 10 observations, which is an even number, we will use the formula for finding the median in a data set with an even number of observations.

### Step 4: Use the median formula for even n
The formula for finding the median when n is even is:

\[ \text{Median} = \frac{\text{(n/2)th term} + \text{((n/2) + 1)th term}}{2} \]

Here, n = 10, so:

\[ \text{Median} = \frac{\text{(10/2)th term} + \text{((10/2) + 1)th term}}{2} \]

Calculating the terms:

\[ \text{(10/2)th term} = 5th \text{ term} = 25 \]
\[ \text{((10/2) + 1)th term} = 6th \text{ term} = 34 \]

### Step 5: Calculate the median
Now we substitute the values into the median formula:

\[ \text{Median} = \frac{25 + 34}{2} = \frac{59}{2} = 29.5 \]

### Final Answer
Thus, the median of the given data set is **29.5**.

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