Math Problem Statement
the mean deviation from the median of discrete data 3,9,4,6,4,7,12,19,8 is
Solution
To find the mean deviation from the median for the given discrete data set , we can follow these steps:
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Arrange the data in ascending order:
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Find the median: Since there are 9 data points (an odd number), the median is the middle value, which is the 5th value in the ordered list.
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Calculate the absolute deviations from the median:
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Sum the absolute deviations:
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Calculate the mean deviation from the median:
The mean deviation from the median is approximately .
Would you like more details or have any questions?
Here are some related questions to expand your understanding:
- How is the mean deviation from the mean calculated?
- What is the median of a data set with an even number of observations?
- How does the presence of outliers affect the mean deviation?
- What are the advantages of using the median over the mean in skewed distributions?
- How do you calculate the range of a data set?
- What is the interquartile range (IQR) and how is it calculated?
- How does the mean absolute deviation differ from the standard deviation?
- Why is the mean deviation always non-negative?
Tip: The mean deviation is useful for understanding the spread of data points around the median, especially in skewed distributions where the mean can be misleading.
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Math Problem Analysis
Mathematical Concepts
Statistics
Mean Deviation
Median
Formulas
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Theorems
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Suitable Grade Level
Grades 10-12
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