Math Problem Statement
0
0.26
2.82
2.45
0.38
2.92
0.84
0.81
0.14
0.48
0
0.67
2.84
0.12
2.5
3.47
1.26
0.65
1.67
3.1
0
0.16
0
1.07
2.39
0.23
0.41
0.58 what is the 5 number summary
Solution
To calculate the 5-number summary, we need the following key values:
- Minimum (the smallest value)
- First Quartile (Q1) (25th percentile)
- Median (Q2) (50th percentile)
- Third Quartile (Q3) (75th percentile)
- Maximum (the largest value)
Let’s calculate the 5-number summary for your dataset:
Ordered Data:
0, 0, 0, 0, 0.12, 0.14, 0.16, 0.23, 0.26, 0.38, 0.41, 0.48, 0.58, 0.65, 0.67, 0.81, 0.84, 1.07, 1.26, 1.67, 2.39, 2.45, 2.5, 2.82, 2.84, 2.92, 3.1, 3.47
5-Number Summary:
- Minimum = 0
- First Quartile (Q1) = 0.23
- Median (Q2) = 0.81
- Third Quartile (Q3) = 2.5
- Maximum = 3.47
The 5-number summary is:
- Minimum: 0
- Q1: 0.23
- Median: 0.81
- Q3: 2.5
- Maximum: 3.47
Would you like more details on how these were calculated or have any questions?
Here are five related questions:
- How do you calculate the interquartile range (IQR) from the 5-number summary?
- What does the 5-number summary tell us about the distribution of data?
- How can you use the 5-number summary to detect outliers?
- What is the significance of the median in a 5-number summary?
- How does the 5-number summary compare to other summary statistics like the mean and standard deviation?
Tip: The interquartile range (IQR) can help you detect outliers. It’s the difference between Q3 and Q1.
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Math Problem Analysis
Mathematical Concepts
Descriptive Statistics
Five-Number Summary
Quartiles
Formulas
Five-number summary: Minimum, Q1, Median, Q3, Maximum
Theorems
Quartile definition and calculation
Suitable Grade Level
Grades 9-12