Using the following stem & leaf plot, find the five number summary for the data by hand. 116 7 21599 3159 4|01 3 4 512 3 4 8 9 610 6 Min = Q1 = Med = Q3 = Max =
Using the following stem & leaf plot, find the five number summary for the data by hand. 116 7 21599 3159 4|01 3 4 512 3 4 8 9 610 6 Min = Q1 = Med = Q3 = Max =
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:**Stem and Leaf Plot Analysis**
**Data from the Stem & Leaf Plot:**
- Stem: 1 | Leaves: 6, 7
- Stem: 2 | Leaves: 5, 9, 9
- Stem: 3 | Leaves: 5, 9
- Stem: 4 | Leaves: 0, 1, 3, 4
- Stem: 5 | Leaves: 2, 3, 4, 8, 9
- Stem: 6 | Leaves: 0, 6
The task is to find the five-number summary for the data by hand. This includes:
- **Min:** The smallest number in the data set.
- **Q1 (First Quartile):** The median of the first half of the data.
- **Med (Median):** The middle number of the data set.
- **Q3 (Third Quartile):** The median of the second half of the data.
- **Max:** The largest number in the data set.
**Solution Steps:**
1. Convert the stem and leaf plot into a list of numbers:
- 16, 17, 25, 29, 29, 35, 39, 40, 41, 43, 44, 52, 53, 54, 58, 59, 60, 66
2. Order the numbers (if not already ordered):
- 16, 17, 25, 29, 29, 35, 39, 40, 41, 43, 44, 52, 53, 54, 58, 59, 60, 66
3. Identify the minimum and maximum:
- **Min:** 16
- **Max:** 66
4. Find the median (middle value):
- There are 18 numbers. The median is the average of the 9th and 10th numbers.
- Median = (41 + 43) / 2 = 42
5. Calculate Q1 (first quartile):
- First half: 16, 17, 25, 29, 29, 35, 39, 40, 41
- Q1 = 29
6. Calculate Q3 (third quartile):
- Second half: 43,
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