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.