The data in the box represents the ages of participants in a sample. Use the data in the box below for questions 1-12. Do not delete the prompts. Show the formulas you used for each question. 3 16 32 41 58 6 10 11 17 18 19 26 33 35 35 36 42 43 44 45 58 59 59 60 4 1. What is the value for Quartile 1? 2. What is the value for Quartile 3? 3. What is the IQR? 12 12 14 15 27 27 30 31 37 39 39 39 50 52 53 55 63 63 64 66 15 31 41 56 87

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Show formulas and work 

**Educational Website Content**

### Data Analysis: Understanding Quartiles and Interquartile Range

The data below represents the ages of participants in a sample. Use this data to answer the questions that follow. Please show the formulas you used for each calculation.

#### Data Set:
3, 4, 6, 10, 11, 12, 12, 14, 15, 15  
16, 17, 18, 19, 26, 27, 27, 30, 31, 31  
32, 33, 35, 35, 36, 37, 39, 39, 39, 41  
41, 42, 43, 44, 45, 50, 52, 53, 55, 56  
58, 58, 59, 59, 60, 63, 63, 64, 66, 87

#### Questions:
1. What is the value for Quartile 1 (Q1)?
2. What is the value for Quartile 3 (Q3)?
3. What is the Interquartile Range (IQR)?

### Understanding Quartiles and IQR

- **Quartile 1 (Q1):** This is the median of the first half of the data set. It represents the 25th percentile.
- **Quartile 3 (Q3):** This is the median of the second half of the data set. It represents the 75th percentile.
- **Interquartile Range (IQR):** The IQR is calculated as Q3 minus Q1. It measures the spread of the middle 50% of the data.

### Formulae:
- To find Q1, identify the median of the first half of the data.
- To find Q3, identify the median of the second half of the data.
- IQR = Q3 - Q1

Use these definitions and formulae to analyze the data provided.
Transcribed Image Text:**Educational Website Content** ### Data Analysis: Understanding Quartiles and Interquartile Range The data below represents the ages of participants in a sample. Use this data to answer the questions that follow. Please show the formulas you used for each calculation. #### Data Set: 3, 4, 6, 10, 11, 12, 12, 14, 15, 15 16, 17, 18, 19, 26, 27, 27, 30, 31, 31 32, 33, 35, 35, 36, 37, 39, 39, 39, 41 41, 42, 43, 44, 45, 50, 52, 53, 55, 56 58, 58, 59, 59, 60, 63, 63, 64, 66, 87 #### Questions: 1. What is the value for Quartile 1 (Q1)? 2. What is the value for Quartile 3 (Q3)? 3. What is the Interquartile Range (IQR)? ### Understanding Quartiles and IQR - **Quartile 1 (Q1):** This is the median of the first half of the data set. It represents the 25th percentile. - **Quartile 3 (Q3):** This is the median of the second half of the data set. It represents the 75th percentile. - **Interquartile Range (IQR):** The IQR is calculated as Q3 minus Q1. It measures the spread of the middle 50% of the data. ### Formulae: - To find Q1, identify the median of the first half of the data. - To find Q3, identify the median of the second half of the data. - IQR = Q3 - Q1 Use these definitions and formulae to analyze the data provided.
Expert Solution
steps

Step by step

Solved in 5 steps with 7 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman