The heights (in cm) of 9 students of a class are as follows: 155, 160, 145, 149, 150, 147, 152, 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: List the heights
The heights of the students are:
- 155, 160, 145, 149, 150, 147, 152, 144, 148

### Step 2: Arrange the heights in ascending order
To find the median, we need to arrange the heights from the smallest to the largest:
- 144, 145, 147, 148, 149, 150, 152, 155, 160

### Step 3: Count the number of observations
We have a total of 9 heights (which is an odd number).

### Step 4: Find the position of the median
For an odd number of observations, the median is found at the position given by the formula:
\[ \text{Median Position} = \frac{n + 1}{2} \]
Where \( n \) is the number of observations. In this case, \( n = 9 \):
\[ \text{Median Position} = \frac{9 + 1}{2} = \frac{10}{2} = 5 \]

### Step 5: Identify the median
Now, we find the 5th observation in the ordered list:
- The ordered heights are: 144, 145, 147, 148, **149**, 150, 152, 155, 160
- The 5th observation is **149**.

### Conclusion
Thus, the median height of the students is **149 cm**.

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