Directions for questions : State whether the following statements are true or false.
The median of the data 47, 41, 52, 43, 56, 35, 49, 55, 42 is 47.

Answer

To determine whether the statement "The median of the data 47, 41, 52, 43, 56, 35, 49, 55, 42 is 47" is true or false, we will follow these steps:

### Step 1: List the Data
The given data is:
47, 41, 52, 43, 56, 35, 49, 55, 42

### Step 2: Count the Number of Observations
Count the number of data points:
1. 47
2. 41
3. 52
4. 43
5. 56
6. 35
7. 49
8. 55
9. 42

There are a total of 9 observations.

### Step 3: Arrange the Data in Ascending Order
Next, we need to arrange the data in ascending order:
35, 41, 42, 43, 47, 49, 52, 55, 56

### Step 4: Determine if the Number of Observations is Odd or Even
Since we have 9 observations, which is an odd number, we will use the formula for finding the median in a set of data with an odd number of observations.

### Step 5: Calculate the Position of the Median
To find the median, we use the formula:
Median position = (n + 1) / 2
Where n is the number of observations.

Here, n = 9.
So, Median position = (9 + 1) / 2 = 10 / 2 = 5

### Step 6: Identify the Median Value
Now, we find the 5th observation in our arranged data:
1. 35
2. 41
3. 42
4. 43
5. **47** (This is the 5th observation)

### Conclusion
The median of the data set is 47. Therefore, the statement "The median of the data 47, 41, 52, 43, 56, 35, 49, 55, 42 is 47" is **True**.

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