Using the following stem & leaf plot, find the five number summary for the data by hand. 1|2 5 2|2 4 7 3|2 4 4|2277 512 3 3 4 5 610 1 Min %3D Q1 Med : Q3 = Max %3D II
Using the following stem & leaf plot, find the five number summary for the data by hand. 1|2 5 2|2 4 7 3|2 4 4|2277 512 3 3 4 5 610 1 Min %3D Q1 Med : Q3 = Max %3D II
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:To find the five number summary of the given data, let's first interpret and analyze the stem and leaf plot:
### Stem and Leaf Plot Explanation
- **Stem** represents the leading digit(s)
- **Leaf** represents the last digit of each number
#### Data Representation:
- **1 | 2 5** represents the numbers 12 and 15
- **2 | 2 4 7** represents the numbers 22, 24, and 27
- **3 | 2 4** represents the numbers 32 and 34
- **4 | 2 2 7 7** represents the numbers 42, 42, 47, and 47
- **5 | 2 3 3 4 5** represents the numbers 52, 53, 53, 54, and 55
- **6 | 0 1** represents the numbers 60 and 61
### Compilation of Data:
The data extracted from the plot is:
12, 15, 22, 24, 27, 32, 34, 42, 42, 47, 47, 52, 53, 53, 54, 55, 60, 61
### Five Number Summary:
1. **Minimum (Min):** The smallest number in the data set.
- **Min = 12**
2. **First Quartile (Q1):** The median of the first half of the data.
- Data in order: 12, 15, 22, 24, 27, 32, 34, 42, 42
- Median of first half: (24 + 27) / 2 = 25.5
- **Q1 = 25.5**
3. **Median (Med):** The middle number of the dataset.
- Total numbers = 18, Middle = 9th and 10th numbers
- Median = (42 + 47) / 2 = 44.5
- **Med = 44.5**
4. **Third Quartile (Q3):** The median of the second half of the data.
- Data in order: 42, 47, 47, 52, 53, 53, 54, 55, 60, 61
-
Expert Solution

Step 1
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman