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Use this set of numbers to answer the question What is the median for this set of numbers? A. 4 B. 11 C. \( 23,68,70,4,12,4 \) D. 66 E. 70

Ask by Elliott Warner. in South Africa
Feb 17,2025

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The median of the numbers \( 23, 68, 70, 4, 12, 4 \) is \( 17.5 \).

Solución

To find the median of the given set of numbers \( 23, 68, 70, 4, 12, 4 \), we will follow these steps: 1. **Sort the numbers in ascending order.** 2. **Determine the median based on the number of values.** ### Step 1: Sort the Numbers The given numbers are: - \( 23, 68, 70, 4, 12, 4 \) Sorting these numbers in ascending order gives us: - \( 4, 4, 12, 23, 68, 70 \) ### Step 2: Determine the Median The median is the middle value of a sorted list. If the number of values is odd, the median is the middle number. If it is even, the median is the average of the two middle numbers. In this case, we have 6 numbers (which is even), so we will take the average of the 3rd and 4th numbers in the sorted list. The 3rd and 4th numbers are: - 3rd: \( 12 \) - 4th: \( 23 \) Now, we calculate the median: \[ \text{Median} = \frac{12 + 23}{2} = \frac{35}{2} = 17.5 \] ### Conclusion The median of the set of numbers \( 23, 68, 70, 4, 12, 4 \) is \( 17.5 \). None of the options A, B, C, D, or E match this result.

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The Deep Dive

To find the median of the set \( 23, 68, 70, 4, 12, 4 \), first, arrange the numbers in ascending order: \( 4, 4, 12, 23, 68, 70 \). Since there are six numbers (an even amount), the median will be the average of the two middle numbers. Those middle numbers are 12 and 23. Therefore, the median is \( \frac{12 + 23}{2} = 17.5 \). And just like that, you’ve unlocked the mysterious world of medians! It’s a common tool in statistics that helps us understand data better, ensuring we're not swayed by extreme values. So next time you're analyzing data, remember how your trusty median can provide clarity!

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