Find the median weight for following Data weight in kg 45,46,48,50,52,54,55

Answer

To find the median weight from the given data set, follow these steps:

### Step 1: Arrange the Data in Ascending Order
The given weights are: 45, 46, 48, 50, 52, 54, 55.
Since the data is already arranged in ascending order, we can proceed to the next step.

### Step 2: Count the Number of Observations
Count the number of weights in the data set:
1. 45
2. 46
3. 48
4. 50
5. 52
6. 54
7. 55

There are a total of **7 observations** (n = 7).

### Step 3: Determine if the Number of Observations is Odd or Even
Since n = 7, which is odd, we will use the formula for finding the median for an odd number of observations.

### Step 4: Use the Median Formula for Odd n
The formula for finding the median when n is odd is:
\[ \text{Median} = \frac{n + 1}{2} \text{th observation} \]
Substituting the value of n:
\[ \text{Median} = \frac{7 + 1}{2} = \frac{8}{2} = 4 \]
This means we need to find the 4th observation in the ordered list.

### Step 5: Identify the 4th Observation
Now, we will identify the 4th observation from the ordered list:
1. 1st: 45
2. 2nd: 46
3. 3rd: 48
4. 4th: 50

The 4th observation is **50**.

### Step 6: Conclusion
Thus, the median weight of the given data is **50 kg**.

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