Formula calcuate median odd
Answers
Answer:
If there is an odd number of numbers, this middle number is the median. If there is an even number of numbers add the two middles and divide by 2. The result will be the median.
Answer:
Another way of describing the data is by looking at the middle number. When there are an odd number of values, we can just find the value so that there are the same number of values above as there are below this middle value. When there is an even number of values, there is an issue in there there is not one number that acts as a middle value. Instead, the two middle numbers such that there are the same number of values above as below these two middle numbers. As a compromise, we take the average of these two middle numbers. We call this result the median of the data. It might help to summarize this in a 3-step process.
Step by Step Process for Finding the Median
Step 1: Put the numbers in numerical order from smallest to largest.
Step 2: If there is an odd number of numbers, locate the middle number so that there is an equal number of values to the left and to the right. If there is an even number of numbers locate the two middle numbers so that there is an equal number of values to the left and to the right of these two numbers.
Step 3: If there is an odd number of numbers, this middle number is the median. If there is an even number of numbers add the two middles and divide by 2. The result will be the median.
Example 2
Rosa measured the weight in pounds of seven packages bags of oranges that were purchased at her fruit stand. The weights are shown below.
18, 10, 13, 10, 17, 11, 9
Find the median weight
Solution
Step 1: First, put the numbers in numerical order from smallest to largest.
9, 10, 10, 11, 13, 17, 18
Step 2: Notice that there are 7 numbers. This is an odd number of values, so we locate the middle number. The middle number is 11. Notice that there are an equal number (3) of numbers to the left of 11 and to the right of 11.
9, 10, 10, 11, 13, 17, 18
Step 3: We are in the case that there are an odd number of values, so the median is this middle number. That is, the median is 11.