How do I calculate the median of a data set?

Question

I have this list: 7, 12, 14, 18, 20, 22, 25. How do I know which number is the median?

Answer 1

Step 1: State the givens.

The data set is 7, 12, 14, 18, 20, 22, 25. There are 7 values, so n = 7.

Step 2: Find the median position.

Because there is an odd number of values, use: (n+1)/2 = (7+!)/2 = 8/2=4

So, the median is the 4th value.

Step 3: Identify the median.

Count to the 4th number:

7, 12, 14, 18, 20, 22, 25

Therefore, the median is 18.

Answer 2

7, 12, 14, 18, 20, 22, 25

You would want to start at the endpoints of this set after you arrange the number from left to right, least to greatest. In this case, start with 7 and 25 and work your way in toward the middle number (median). Since there is an odd number of data points in the set, you will directly go toward the number 18.

Answer 3

median = the middle number = 18

if an odd number of numbers, such as 9, then the middle number is 4th from the smallest and 4th from the largest. You have to put the numbers in order from smallest to largest, then find the middle number = the median

had there been an even number of numbers, then average the 2 most middle numbers

Answer 4

The median is the middle value when the underlying data is in numerical order. This is already properly ordered from start to finish so it’s just a matter of finding the value in the middle for this data set. Specifically, since there are 3 values on either side of 18 that ends up being the middle value here.

I hope that helps get you moving in the right direction! Feel free to reach out if you have any more questions beyond that :)

Answer 5

To find the median, put the numbers in order 7, 12, 14, 18, 20, 22, 25. It looks like the numbers are in order from lowest to highest. You have 7 numbers, which makes the median 18. The middle number.

Feel free to ask if you have any more questions.

Answer 6

To find the median, first make sure the numbers are in order—which they already are. Then find the middle value.

Since there are 7 numbers, the 4th value is the median.

✅ The median is 18.