The heights (in cm) of 9 students of a class are as follows:
150, 160, 140, 140, 150, 140, 150, 144, 148
Find the median of this data.

Answer

To find the median of the heights of the 9 students, we will follow these steps:

### Step 1: Arrange the data in ascending order.
The heights given are:
150, 160, 140, 140, 150, 140, 150, 144, 148

Arranging these heights in ascending order, we get:
140, 140, 140, 144, 148, 150, 150, 150, 160

### Step 2: Determine the number of data points.
We have a total of 9 heights (data points).

### Step 3: Identify if the number of data points is odd or even.
Since 9 is an odd number, we will use the formula for finding the median in an odd set of data.

### Step 4: Use the median formula for an odd number of data points.
The median is given by the formula:
\[ \text{Median} = \frac{n + 1}{2} \]
where \( n \) is the number of data points.

Substituting \( n = 9 \):
\[ \text{Median} = \frac{9 + 1}{2} = \frac{10}{2} = 5 \]

### Step 5: Locate the 5th term in the ordered list.
Now, we need to find the 5th term in our arranged list:
1. 140
2. 140
3. 140
4. 144
5. **148** (This is the 5th term)
6. 150
7. 150
8. 150
9. 160

### Step 6: State the median.
Thus, the median height of the students is:
**Median = 148 cm**

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