The marks secured in English test (out of 30) by 10 students are as follows :
22, 25, 23, 20, 8, 16, 13, 5, 18, 25
Calculate the median

Answer

To calculate the median of the marks secured in the English test by 10 students, we will follow these steps:

### Step 1: List the Marks
The marks secured by the students are:
22, 25, 23, 20, 8, 16, 13, 5, 18, 25

### Step 2: Arrange the Marks in Ascending Order
We need to arrange the marks from the lowest to the highest:
5, 8, 13, 16, 18, 20, 22, 23, 25, 25

### Step 3: Determine the Total Number of Students
Count the number of marks:
There are 10 students, so \( n = 10 \).

### Step 4: Identify the Median Position
Since the number of observations (n) is even, we use the formula for the median:
\[ \text{Median} = \frac{\text{(n/2)th term} + \text{(n/2 + 1)th term}}{2} \]
Here, \( n/2 = 10/2 = 5 \) and \( n/2 + 1 = 5 + 1 = 6 \).

### Step 5: Find the 5th and 6th Terms
From our arranged list:
- The 5th term is 18.
- The 6th term is 20.

### Step 6: Calculate the Median
Now, substitute the values into the median formula:
\[ \text{Median} = \frac{18 + 20}{2} = \frac{38}{2} = 19 \]

### Final Answer
The median of the marks is **19**.

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