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
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
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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.
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