Math Problem Statement
median of
Solution
To find the median of the data set presented in the table, I will first list all the numbers in the table and sort them in ascending order. Then I will find the middle value(s), since the median is the number in the center of the sorted list.
Here are the numbers from the table:
90, 70, 90, 90, 60
60, 70, 90, 80, 80
80, 80, 70, 90, 60
70, 90, 90, 70, 70
60, 90, 90, 80, 80
90, 70, 90, 70, 70
Now I will sort them:
60, 60, 60, 60, 70, 70, 70, 70, 70, 70, 80, 80, 80, 80, 80, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90
The total number of values is 25. Since 25 is odd, the median is the 13th value in this ordered list.
Looking at the sorted list, the 13th value is 80.
So, the median of the data is 80.
Do you need further details or have any questions?
Here are 5 related questions for further exploration:
- What is the mode of this data set?
- Can you calculate the mean of this data set?
- What is the range of the values in the table?
- How would the median change if one value were altered?
- How does the median compare to the mean in this data set?
Tip: The median is less affected by outliers than the mean, making it a good measure of central tendency for skewed distributions.
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Math Problem Analysis
Mathematical Concepts
Statistics
Median
Formulas
Median formula (middle value in an ordered data set)
Theorems
None specific for median calculation
Suitable Grade Level
Grades 5-8