Math Problem Statement
What is the median of the data set?
What is the median of the data set?
Solution
This image represents a stem-and-leaf plot showing rainfall (in inches) with the key stating that "3|1" means 3.1 inches.
Steps to find the median:
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Extract the data from the stem-and-leaf plot.
- "0|" gives: 0.0, 0.5, 0.6, 0.8
- "1|" gives: 1.1, 1.4, 1.5
- "2|" gives: 2.0, 2.0, 2.1, 2.3, 2.4
- "3|" gives: 3.1, 3.1, 3.1
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List the data in order:
- 0.0, 0.5, 0.6, 0.8, 1.1, 1.4, 1.5, 2.0, 2.0, 2.1, 2.3, 2.4, 3.1, 3.1, 3.1
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Find the median:
- There are 15 data points. The middle value is the 8th value.
- Median = 2.0 inches.
Would you like more details or explanations?
Here are five related questions to explore further:
- How do you find the mode of the data set?
- What is the range of the rainfall data?
- How do you calculate the mean rainfall?
- What are the quartiles of the data set?
- How would the median change if an additional value was added?
Tip: The median is unaffected by extreme values, making it a good measure for skewed data.
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Math Problem Analysis
Mathematical Concepts
Statistics
Median
Data Analysis
Stem-and-Leaf Plot
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8