How do you find the median of the following data set: 1, 14, 58, 35, 12, 1, 12, 1, 34?

To find the median of a data set, you need to follow a few simple steps. Let’s break it down using the provided data set: 1, 14, 58, 35, 12, 1, 12, 1, 34.

1. Organize the Data: Start by sorting the numbers in ascending order. The sorted data set looks like this:
• 1
• 1
• 1
• 12
• 12
• 14
• 34
• 35
• 58
2. Determine the Count: Next, count how many numbers are in the data set. In this case, there are 9 numbers.
3. Identify the Median: Since there is an odd number of observations (9 in total), the median is the middle number. To find the middle position, use the formula:
• Median Position = (N + 1) / 2, where N is the number of observations.

Plugging in the numbers, we get:

• (9 + 1) / 2 = 10 / 2 = 5

This means the median is the 5th number in our sorted list.

4. Find the Median Value: Looking at our sorted data set, the 5th number is:
• 12

Conclusion: Thus, the median of the data set 1, 14, 58, 35, 12, 1, 12, 1, 34 is 12.