Math Problem Statement
Solution
To find the median of the given data set:
The data set provided is:
Step 1: Sort the data in ascending order.
Step 2: Find the median.
- Since there are 8 numbers (even count), the median is the average of the 4th and 5th numbers in the ordered set.
- The 4th number is 18, and the 5th number is 20.
Step 3: Calculate the median.
Thus, the median is 19, corresponding to option c).
Would you like further clarification or details on this solution?
Here are five related questions:
- What is the mean of the data set?
- How do you find the mode of a data set?
- What is the range of this data set?
- How does the median change if an additional number is added to the set?
- What is the difference between the median and the mean?
Tip: The median is a measure of central tendency that is resistant to extreme values (outliers).
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Math Problem Analysis
Mathematical Concepts
Median
Data Sets
Measures of Central Tendency
Formulas
Median = (n/2)th value for sorted data when even count
Theorems
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Suitable Grade Level
Grades 6-8
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