Math Problem Statement

1.01

0.28

1.24

0.21

0.37

2.53

1.55

1.97

0.4

0.82

0

2.86

2.86

0.23

0.15

3.52

0.51

0.29

2.78

3.11

0

0.15

0

1.71

2.32

0.6

0.05

0.06 what is the five number summary

Solution

The five-number summary consists of the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. Let's compute it step by step for the given dataThe five-number summary consists of the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. Let's compute it step by step for the given

Step 1: Arrange the data in ascending order.

0, 0, 0, 0.05, 0.06, 0.15, 0.15, 0.21, 0.23, 0.28, 0.29, 0.37, 0.4, 0.51, 0.6, 0.82, 1.01, 1.24, 1.55, 1.71, 1.97, 2.32, 2.53, 2.78, 2.86, 2.86, 3.11, 3.52

Step 2: Identify the five numbers.

  1. Minimum: The smallest value is 0.
  2. Q1 (First Quartile): The 25th percentile (7th value in the sorted list) is 0.15.
  3. Median (Q2): The 50th percentile (14th value in the sorted list) is 0.51.
  4. Q3 (Third Quartile): The 75th percentile (21st value in the sorted list) is 1.97.
  5. Maximum: The largest value is 3.52.

Five-number summary:

  • Minimum: 0
  • Q1 (First Quartile): 0.15
  • Median (Q2): 0.51
  • Q3 (Third Quartile): 1.97
  • Maximum: 3.52

Would you like further details on how each of these values is calculated or interpreted?

Here are 5 relative questions:

  1. How does the five-number summary help in understanding the distribution of data?
  2. What is the interquartile range (IQR) for this data set?
  3. What does a box plot look like for this data using the five-number summary?
  4. How do outliers affect the five-number summary?
  5. Can you use the five-number summary to determine the skewness of the data?

Tip: The interquartile range (IQR), which is Q3 - Q1, can be useful in identifying potential outliers.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Descriptive Statistics
Five-number Summary
Quartiles

Formulas

Q1: 25th Percentile
Median (Q2): 50th Percentile
Q3: 75th Percentile
Interquartile Range: Q3 - Q1

Theorems

Percentile Calculation
Quartile Definition

Suitable Grade Level

Grades 7-10