Answer :
Final answer:
The median of the set of numbers you provided - 112, 121, 124, 137, 147, 156, 173, 189 - is 142. We arrive at this by first writing the numbers in increasing order, then averaging the 4th and 5th numbers (137 and 147), because the dataset has an even number of values.
Explanation:
The median of a set of numbers is the middle value when the numbers are listed in numerical order. If there is an even number of values, as in your dataset, the median is calculated as the average of the middle two numbers. Step-by-step, here's how you find it:
- First, list the numbers in numerical order: 112, 121, 124, 137, 147, 156, 173, 189.
- Notice there are 8 numbers so there's an even amount, which means the median will be the average of the 4th and 5th numbers.
- Locate the 4th and 5th numbers: they are 137 and 147.
- To find the average, add these two numbers together and divide by 2: (137+147)/2=142.
Therefore, the median of the given set of numbers is 142.
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