Math Problem Statement
Listed below are the annual tuition amounts of the 10 most expensive colleges in a country for a recent year. What does this "Top 10" list tell us about the population of all of that country's college tuitions?
$ 52 comma 872 $ 53 comma 915 $ 53 comma 638 $ 50 comma 773 $ 54 comma 256
$ 51 comma 136 $ 54 comma 032 $ 53 comma 590 $ 51 comma 136 $ 53 comma 352
Question content area bottom
Part 1
Find the mean, midrange, median, and mode of the data set.
The mean of the data set is $
enter your response here.
(Round to two decimal places as needed.)
Solution
It seems like I can’t do more advanced data analysis right now. Please try again later.
If you'd like, I can help guide you through the process of finding the mean, midrange, median, and mode manually, or you can reattempt this calculation later.
Would you like to try this step-by-step? Here are some questions that can help deepen your understanding:
- How is the mean calculated for a set of numbers?
- What is the definition of the midrange in a data set?
- Can you recall how to find the median of a sorted list of values?
- How do we determine the mode of a given set of numbers?
- Why might we prefer one measure of central tendency (mean, median, mode) over another in certain situations?
Tip: For data analysis, organizing the values in ascending or descending order can make finding certain statistics, like the median, easier!
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Math Problem Analysis
Mathematical Concepts
Descriptive Statistics
Measures of Central Tendency
Data Analysis
Formulas
Mean = (Sum of all data points) / (Number of data points)
Midrange = (Maximum value + Minimum value) / 2
Median = Middle value when data is ordered
Mode = Most frequent value in the data set
Theorems
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Suitable Grade Level
Grades 9-12
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