Find the median of the following data 12, 17, 3, 14, 5, 8, 7, 15.

To find the median of the given data set, we first need to organize the numbers in ascending order. The median is the middle value of a data set when it is arranged in order. If there is an even number of observations, the median is the average of the two middle numbers. Let's break this down step by step.

Step 1: Arrange the Data

We start with the data set: 12, 17, 3, 14, 5, 8, 7, 15. First, we will sort these numbers from smallest to largest:

• 3
• 5
• 7
• 8
• 12
• 14
• 15
• 17

Step 2: Determine the Number of Observations

Next, we count how many numbers are in our sorted list. In this case, there are 8 numbers:

• 3
• 5
• 7
• 8
• 12
• 14
• 15
• 17

Step 3: Finding the Median

Since there are 8 numbers (an even count), the median will be the average of the two middle numbers. The two middle numbers in our sorted list are the 4th and 5th numbers:

• 4th number: 8
• 5th number: 12

Now, we calculate the average of these two numbers:

Calculating the Average

The formula for finding the average of two numbers is:

Average = (Number 1 + Number 2) / 2

Applying this to our middle numbers:

Average = (8 + 12) / 2 = 20 / 2 = 10

Final Result

The median of the data set 12, 17, 3, 14, 5, 8, 7, 15 is 10.