The points scored by a kabaddi team in a series of matches are as follows:
8, 24, 10, 14, 5, 15, 7, 2, 17, 27, 10, 7, 48, 8, 18, 28
Find the median of the points scored by the team .

Options

A. 12
B. 14
C. 10
D. 15

Answer

To find the median of the points scored by the kabaddi team, we will follow these steps:

### Step 1: List the Data
The points scored by the kabaddi team in a series of matches are:
8, 24, 10, 14, 5, 15, 7, 2, 17, 27, 10, 7, 48, 8, 18, 28

### Step 2: Arrange the Data in Ascending Order
We need to arrange the data in ascending order:
2, 5, 7, 7, 8, 8, 10, 10, 14, 15, 17, 18, 24, 27, 28, 48

### Step 3: Count the Number of Observations
Now, we count the number of observations (n):
There are 16 observations in total.

### Step 4: Determine if n is Even or Odd
Since n = 16, which is an even number, we will use the formula for finding the median in the case of an even number of observations.

### Step 5: Apply the Median Formula
The median for an even number of observations is given by:
\[ \text{Median} = \frac{\text{(n/2)th observation} + \text{(n/2 + 1)th observation}}{2} \]
Here, n/2 = 16/2 = 8. Therefore, we need to find the 8th and 9th observations.

### Step 6: Identify the 8th and 9th Observations
From our arranged data:
- The 8th observation is 10
- The 9th observation is 14

### Step 7: Calculate the Median
Now we can calculate the median:
\[ \text{Median} = \frac{10 + 14}{2} = \frac{24}{2} = 12 \]

### Final Answer
The median of the points scored by the kabaddi team is **12**.

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