Find Median of the following data :
25, 10,40,88,45,60,77,36,18,95,56,65,7,0,38 and 83

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 arrange the data in ascending order. The given data is:
25, 10, 40, 88, 45, 60, 77, 36, 18, 95, 56, 65, 7, 0, 38, 83

Arranging this data in ascending order gives us:
0, 7, 10, 18, 25, 36, 38, 40, 45, 56, 60, 65, 77, 83, 88, 95

### Step 2: Count the Number of Data Points
Next, we count the number of data points (n). In this case, we have:
n = 16 (since there are 16 numbers in the arranged data).

### Step 3: Determine if n is Even or Odd
Since n = 16 is an even number, we will use the formula for finding the median in a dataset with an even number of observations.

### Step 4: Find the Median
For an even number of observations, the median is the average of the two middle numbers. The two middle positions in our dataset are the 8th and 9th numbers.

From our arranged data:
- The 8th number is 40
- The 9th number is 45

Now, we calculate the median:
Median = (40 + 45) / 2
Median = 85 / 2
Median = 42.5

### Final Answer
The median of the given data is **42.5**.

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