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:

  1. Minimum (the smallest value)
  2. First Quartile (Q1) (25th percentile)
  3. Median (Q2) (50th percentile)
  4. Third Quartile (Q3) (75th percentile)
  5. 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:

  1. Minimum = 0
  2. First Quartile (Q1) = 0.23
  3. Median (Q2) = 0.81
  4. Third Quartile (Q3) = 2.5
  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:

  1. How do you calculate the interquartile range (IQR) from the 5-number summary?
  2. What does the 5-number summary tell us about the distribution of data?
  3. How can you use the 5-number summary to detect outliers?
  4. What is the significance of the median in a 5-number summary?
  5. 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