Math Problem Statement
Find the median and mean of the data set below: 29, comma, 41, comma, 41, comma, 7, comma, 40, comma, 2, comma, 1 29,41,41,7,40,2,1
Solution
Let's find the mean and median of the data set:
Data: 29, 41, 41, 7, 40, 2, 1
Step 1: Find the Mean
The mean (average) is calculated as:
Sum of values:
Number of values:
Step 2: Find the Median
The median is the middle value when the data is arranged in ascending order.
Sorted data: 1, 2, 7, 29, 40, 41, 41
Since we have 7 numbers (odd count), the median is the 4th value:
Final Answer:
- Mean ≈ 23
- Median = 29
Would you like a more detailed breakdown? Let me know if you have questions!
Related Questions:
- What happens if there are an even number of values when finding the median?
- How does an outlier affect the mean and median?
- What is the mode of this data set?
- How can we calculate the range of this data set?
- How would adding another 41 change the mean and median?
Tip:
The median is less sensitive to extreme values (outliers) than the mean, making it a better measure of central tendency for skewed data!
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Math Problem Analysis
Mathematical Concepts
Statistics
Mean
Median
Data Analysis
Formulas
Mean = (Sum of values) / (Number of values)
Median = Middle value of the sorted data set
Theorems
Definition of Mean
Definition of Median
Suitable Grade Level
Grades 6-8
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