Math Problem Statement
Using technology, find the measures of central tendency for the following raw quantitative data set. Round the answers to two decimal places.
42.2 46.8 50.5 55.2 61.1 67.8 71 75.6 64 62.9 62.9 60.4 54.3 46 64.2 71.2 61 65.1 70.7 55.3 53.3 78.6 43.6 53.8 56.9 67.3 63.7 50.6 62 72.4 72.4 46 61.4 56.9 49.3 54.3 52 52.7 63.3 61 62.7 63.1 69.4 57.8 65.7 78.6 54.1 65.9 68.6 76.4 49.7 53 59 59 63.5 52.7 54.3 54.1 60.4 59.8 54.3 54.6 57.3 56.3 62 57.6 43.6 58.6 62.2 59.2 Download CSV
mean =
median =
Solution
The measures of central tendency for the given data set are as follows:
- Mean = 59.62
- Median = 59.50
Would you like more details or have any further questions?
Here are some related questions to expand your understanding:
- What is the mode of this data set, and how does it compare to the mean and median?
- How does the mean change if you remove the lowest and highest values in the data set?
- What is the range of this data set, and how does it relate to the mean and median?
- Can you find the first and third quartiles (Q1 and Q3) of this data set?
- How would the median change if one additional data point (e.g., 80) was added to the data set?
Tip: When working with large data sets, calculating both the mean and median gives a better understanding of the data's distribution and can help identify any skewness.
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Math Problem Analysis
Mathematical Concepts
Measures of Central Tendency
Mean
Median
Descriptive Statistics
Formulas
Mean = (Sum of all data points) / (Number of data points)
Median = Middle value of the ordered data set
Theorems
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Suitable Grade Level
Grades 9-12
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