Math Problem Statement
Find the median and mean of the data set below: 35, comma, 6, comma, 21, comma, 42, comma, 8, comma, 47 35,6,21,42,8,47
Solution
Let's find the mean and median of the given data set:
Given Data Set:
1. Mean:
The mean is the average of the numbers. To calculate it, follow these steps:
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Sum of the numbers:
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Number of values: 6
So,
2. Median:
The median is the middle value when the numbers are arranged in order. For an even number of values, the median is the average of the two middle numbers.
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Arrange the numbers in ascending order:
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Since there are 6 values (even number), the median is the average of the 3rd and 4th numbers:
Final Results:
- Mean: 26.5
- Median: 28
Would you like any additional details or have any further questions?
Here are some related questions:
- What happens to the mean and median if a new number is added to the dataset?
- How do the mean and median differ for a larger dataset?
- Can you think of a scenario where the median is more useful than the mean?
- What is the mode, and how would it apply to this dataset?
- How would an outlier affect the mean and median?
Tip: The median is less affected by outliers than the mean, making it a better measure of central tendency in skewed distributions.
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Math Problem Analysis
Mathematical Concepts
Statistics
Mean
Median
Formulas
Mean = (Sum of values) / (Number of values)
Median (for even number of values) = (Value at n/2 + Value at (n/2 + 1)) / 2
Theorems
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Suitable Grade Level
Grades 6-8
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