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What is the median of the following 9 numbers? \( 66,29,31,49,65,13,80,13,24 \) F. 13 G. 31 H. 41.1 J. 65 K. 80

Ask by Turnbull Chavez. in the United States
Nov 10,2024

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Answer

The median is 31.

Solution

To find the median of the given numbers, we first need to arrange them in ascending order. The numbers provided are: \( 66, 29, 31, 49, 65, 13, 80, 13, 24 \) Arranging these numbers in ascending order, we get: \( 13, 13, 24, 29, 31, 49, 65, 66, 80 \) The median is the middle number in a sorted list. Since there are 9 numbers (an odd count), the median will be the 5th number in this ordered list. Counting to the 5th number: 1. 13 2. 13 3. 24 4. 29 5. **31** 6. 49 7. 65 8. 66 9. 80 Thus, the median of the numbers is \( 31 \). The answer is \( \boxed{31} \).

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The Deep Dive

To find the median, we first need to arrange the numbers in ascending order: \( 13, 13, 24, 29, 31, 49, 65, 66, 80 \). Since there are 9 numbers (an odd amount), the median will be the middle number. The middle number is the 5th number in the sorted list, which is \( 31 \). Therefore, the median is \( \text{G. } 31 \). Let's dive a bit deeper into statistics! Did you know that the median is particularly useful in representing a dataset that may contain outliers? While the average can be heavily skewed by extreme values, the median offers a more representative central tendency. This is why many statisticians prefer using the median in presenting their findings when dealing with numbers that vary widely! Another fun fact: Historically, the concept of the median in statistics can be traced back to the work of Francis Galton in the 19th century. He was one of the first to use the median for scientific analysis, laying the groundwork for future statistical methodologies. So, next time you calculate the median, remember it’s backed by a substantial lineage in the world of data analysis!

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