Find the median of the data:
17,16,12,14,14,16,17,22,15,17,16,18

Answer

To find the median of the given data set, we will follow these steps:

### Step 1: Arrange the data in ascending order
First, we need to sort the data in ascending order. The given data is:
17, 16, 12, 14, 14, 16, 17, 22, 15, 17, 16, 18

Arranging this data in ascending order, we get:
12, 14, 14, 15, 16, 16, 16, 17, 17, 17, 18, 22

### Step 2: Count the number of observations
Next, we count the number of observations in the data set.
The arranged data has 12 numbers:
12, 14, 14, 15, 16, 16, 16, 17, 17, 17, 18, 22

So, the total number of observations (n) is 12.

### Step 3: Determine if the number of observations is odd or even
Since the number of observations (12) is even, we will use the formula for finding the median in an even data set.

### Step 4: Find the middle terms
For an even number of observations, the median is the average of the two middle numbers. The middle positions for 12 observations are the 6th and 7th terms.

From our arranged data:
- The 6th term is 16
- The 7th term is also 16

### Step 5: Calculate the median
Now we calculate the median using the two middle terms:
Median = (6th term + 7th term) / 2
Median = (16 + 16) / 2
Median = 32 / 2
Median = 16

### Conclusion
Thus, the median of the given data set is **16**.

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