5. For the following data 10 ,15 ,30, 30 ,31, 31, 32 ,32, 33, 33 ,34 ,36, 38 ,39 ,40, 40, 43, 44, 44,45, 45 ,46, 46, 47, 47,48, 48, 48, 60, 70: a. Make a frequency diagram with 8 classes. b. Make a histogram. c. Give the Five Number Summary. d. Draw the box and whisker diagram. Show the outliers.
5. For the following data 10 ,15 ,30, 30 ,31, 31, 32 ,32, 33, 33 ,34 ,36, 38 ,39 ,40, 40, 43, 44, 44,45, 45 ,46, 46, 47, 47,48, 48, 48, 60, 70: a. Make a frequency diagram with 8 classes. b. Make a histogram. c. Give the Five Number Summary. d. Draw the box and whisker diagram. Show the outliers.
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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Can you please answer this question and all of the sub problems and show all of the steps to the solution
![**Problem 5: Analyzing a Data Set**
Given the following data set:
10, 15, 30, 30, 31, 31, 32, 32, 33, 33, 34, 36, 38, 39, 40, 40, 43, 44, 44, 45, 45, 46, 46, 47, 47, 48, 48, 48, 60, 70
We are tasked with the following:
### a. Create a Frequency Diagram with 8 Classes
To construct a frequency diagram with 8 classes, we need to determine the class intervals. Here's a step-by-step guide to creating the frequency diagram:
1. **Determine the range**:
\[ \text{Range} = \text{Maximum Value} - \text{Minimum Value} = 70 - 10 = 60 \]
2. **Determine the class width**:
\[ \text{Class Width} = \frac{\text{Range}}{\text{Number of Classes}} = \frac{60}{8} = 7.5 \]
(We can round up to 8 for simplicity)
3. **Construct the frequency table** with 8 classes.
### b. Make a Histogram
A histogram is a type of bar chart that represents the frequency distribution of a data set. Follow these steps to create a histogram:
1. Plot the class intervals on the horizontal axis.
2. Plot the frequencies on the vertical axis.
3. Draw bars for each class interval with heights corresponding to their frequencies.
### c. Provide the Five Number Summary
The Five Number Summary includes the following statistics:
1. **Minimum** value
2. **First Quartile (Q1)** - The 25th percentile
3. **Median (Q2)** - The 50th percentile
4. **Third Quartile (Q3)** - The 75th percentile
5. **Maximum** value
### d. Draw the Box and Whisker Diagram (Boxplot) and indicate any outliers
A box and whisker diagram, or boxplot, visually displays the Five Number Summary along with any outliers:
1. Draw a box from Q1 to Q3.
2. Draw a line inside the box at the median (Q2).
3. Draw "whiskers"](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e830786-058e-49dd-8798-047547f22476%2Fcb120ea8-5254-447b-8121-44926da610fa%2Fjjxzhpf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 5: Analyzing a Data Set**
Given the following data set:
10, 15, 30, 30, 31, 31, 32, 32, 33, 33, 34, 36, 38, 39, 40, 40, 43, 44, 44, 45, 45, 46, 46, 47, 47, 48, 48, 48, 60, 70
We are tasked with the following:
### a. Create a Frequency Diagram with 8 Classes
To construct a frequency diagram with 8 classes, we need to determine the class intervals. Here's a step-by-step guide to creating the frequency diagram:
1. **Determine the range**:
\[ \text{Range} = \text{Maximum Value} - \text{Minimum Value} = 70 - 10 = 60 \]
2. **Determine the class width**:
\[ \text{Class Width} = \frac{\text{Range}}{\text{Number of Classes}} = \frac{60}{8} = 7.5 \]
(We can round up to 8 for simplicity)
3. **Construct the frequency table** with 8 classes.
### b. Make a Histogram
A histogram is a type of bar chart that represents the frequency distribution of a data set. Follow these steps to create a histogram:
1. Plot the class intervals on the horizontal axis.
2. Plot the frequencies on the vertical axis.
3. Draw bars for each class interval with heights corresponding to their frequencies.
### c. Provide the Five Number Summary
The Five Number Summary includes the following statistics:
1. **Minimum** value
2. **First Quartile (Q1)** - The 25th percentile
3. **Median (Q2)** - The 50th percentile
4. **Third Quartile (Q3)** - The 75th percentile
5. **Maximum** value
### d. Draw the Box and Whisker Diagram (Boxplot) and indicate any outliers
A box and whisker diagram, or boxplot, visually displays the Five Number Summary along with any outliers:
1. Draw a box from Q1 to Q3.
2. Draw a line inside the box at the median (Q2).
3. Draw "whiskers"
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