Thank you for visiting Given the data set tex 53 13 34 41 26 61 34 13 69 tex Calculate the following Mean tex qquad tex 38 2 Median. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Sure! Let's work through this step-by-step:
1. Mean (Average):
- To find the mean, add up all the numbers in the list, then divide by the number of numbers.
- Numbers in the list: 53, 13, 34, 41, 26, 61, 34, 13, 69.
- Sum of these numbers: [tex]\(53 + 13 + 34 + 41 + 26 + 61 + 34 + 13 + 69 = 344\)[/tex].
- Divide by the count of numbers (which is 9): [tex]\(\frac{344}{9} = 38.2\)[/tex].
2. Median:
- The median is the middle number in a sorted list.
- First, sort the list: 13, 13, 26, 34, 34, 41, 53, 61, 69.
- Since there are 9 numbers (an odd amount), the median is the 5th number in this sorted list, which is 34.
3. Mode:
- The mode is the number that appears most frequently.
- Looking at the list: 53, 13, 34, 41, 26, 61, 34, 13, 69, the number 13 appears twice, which is more than any other number.
- Therefore, the mode is 13.
4. Range:
- The range is the difference between the largest number and the smallest number.
- Smallest number: 13
- Largest number: 69
- The range is [tex]\(69 - 13 = 56\)[/tex].
Here’s a summary:
- Mean: 38.2
- Median: 34
- Mode: 13
- Range: 56
These calculations help us understand different aspects of the data set's central tendency and dispersion.
1. Mean (Average):
- To find the mean, add up all the numbers in the list, then divide by the number of numbers.
- Numbers in the list: 53, 13, 34, 41, 26, 61, 34, 13, 69.
- Sum of these numbers: [tex]\(53 + 13 + 34 + 41 + 26 + 61 + 34 + 13 + 69 = 344\)[/tex].
- Divide by the count of numbers (which is 9): [tex]\(\frac{344}{9} = 38.2\)[/tex].
2. Median:
- The median is the middle number in a sorted list.
- First, sort the list: 13, 13, 26, 34, 34, 41, 53, 61, 69.
- Since there are 9 numbers (an odd amount), the median is the 5th number in this sorted list, which is 34.
3. Mode:
- The mode is the number that appears most frequently.
- Looking at the list: 53, 13, 34, 41, 26, 61, 34, 13, 69, the number 13 appears twice, which is more than any other number.
- Therefore, the mode is 13.
4. Range:
- The range is the difference between the largest number and the smallest number.
- Smallest number: 13
- Largest number: 69
- The range is [tex]\(69 - 13 = 56\)[/tex].
Here’s a summary:
- Mean: 38.2
- Median: 34
- Mode: 13
- Range: 56
These calculations help us understand different aspects of the data set's central tendency and dispersion.
Thank you for reading the article Given the data set tex 53 13 34 41 26 61 34 13 69 tex Calculate the following Mean tex qquad tex 38 2 Median. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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