To find the median of the data set 40, 50, 99, 68, 98, 60, 94, we will follow these steps:
### Step 1: Arrange the data in ascending order.
First, we need to sort the numbers from smallest to largest.
**Data in ascending order:** 40, 50, 60, 68, 94, 98, 99
### Step 2: Count the total number of data points.
Next, we need to determine how many numbers are in our sorted list.
**Total numbers:** 7
### Step 3: Determine if the total number of data points is odd or even.
Since there are 7 data points, we can see that this is an odd number.
### Step 4: Use the median formula for odd numbers.
For an odd number of data points, the median can be found using the formula:
\[ \text{Median} = \frac{n + 1}{2} \]
where \( n \) is the total number of data points.
**Calculation:**
\[ n = 7 \]
\[ \text{Median position} = \frac{7 + 1}{2} = \frac{8}{2} = 4 \]
### Step 5: Identify the median value.
Now, we need to find the 4th term in our sorted list.
**Sorted list:** 40, 50, 60, 68, 94, 98, 99
The 4th term is 68.
### Conclusion:
Thus, the median of the data set is **68**.
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