The runs scored by 12 numbers of a cricket team are 14, 30, 43, 42, 12, 50, 32, 20, 0, 58, 37, 36. Find the median score.

Answer

To find the median score of the runs scored by the cricket team, we will follow these steps:

### Step 1: Arrange the data in ascending order
The runs scored by the cricket team are:
14, 30, 43, 42, 12, 50, 32, 20, 0, 58, 37, 36.

Arranging these numbers in ascending order gives us:
0, 12, 14, 20, 30, 32, 36, 37, 42, 43, 50, 58.

### Step 2: Determine the number of observations
We have a total of 12 observations (n = 12).

### Step 3: Identify the median position
Since the number of observations (n) is even, the median is calculated using the formula:
\[ \text{Median} = \frac{\text{n/2 th term} + \text{(n/2 + 1) th term}}{2} \]

### Step 4: Calculate the positions of the terms
Here, n = 12, so:
- n/2 = 12/2 = 6 (6th term)
- n/2 + 1 = 6 + 1 = 7 (7th term)

### Step 5: Find the 6th and 7th terms from the ordered data
From our ordered data:
- The 6th term is 32.
- The 7th term is 36.

### Step 6: Calculate the median
Now we can substitute these values into the median formula:
\[ \text{Median} = \frac{32 + 36}{2} = \frac{68}{2} = 34. \]

Thus, the median score is **34**.

---