3. a) Consider the dataset below: • Calculate the mean for this dataset • Calculate the standard deviation
3. a) Consider the dataset below: • Calculate the mean for this dataset • Calculate the standard deviation
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
![3.
a) Consider the dataset below:
. Calculate the mean for this dataset
Calculate the standard deviation
b) If we add 3 to each datapoint from part a, we get the following dataset:
45 68 8
Calculate the mean for this dataset
. Calculate the standard deviation
1 2 3 5 5
c) If we multiply each datapoint from part a by 2, we get the following dataset:
2 4 6 10 10
• Calculate the mean for this dataset
• Calculate the standard deviation](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f33cc2f-0221-41a8-a3a2-cc96bc7960a2%2Fc21118db-e7b3-4e51-adba-e5b7bd4e6fee%2Fectg9rm_processed.png&w=3840&q=75)
Transcribed Image Text:3.
a) Consider the dataset below:
. Calculate the mean for this dataset
Calculate the standard deviation
b) If we add 3 to each datapoint from part a, we get the following dataset:
45 68 8
Calculate the mean for this dataset
. Calculate the standard deviation
1 2 3 5 5
c) If we multiply each datapoint from part a by 2, we get the following dataset:
2 4 6 10 10
• Calculate the mean for this dataset
• Calculate the standard deviation
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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
![e) Compare part a to part b:
i. What happens to the mean when the dataset is shifted by 3?
ii. What happens to the standard deviation? Why?
f) Compare part a to part c:
i. What happens to the mean when the dataset is multiplied by 2?
ii. What happens to the standard deviation? Why?](https://content.bartleby.com/qna-images/question/3f33cc2f-0221-41a8-a3a2-cc96bc7960a2/7a67c54a-44d2-49db-bbb6-039d0422c364/2ktqatf_thumbnail.png)
Transcribed Image Text:e) Compare part a to part b:
i. What happens to the mean when the dataset is shifted by 3?
ii. What happens to the standard deviation? Why?
f) Compare part a to part c:
i. What happens to the mean when the dataset is multiplied by 2?
ii. What happens to the standard deviation? Why?
Solution
Follow-up Question
![d) Sketch relative frequency histograms for each dataset below (these are discrete datasets; your bars
should not touch). Mark the mean for the dataset on the x-axis.
a)
relative frequency
b)
relative frequency
이
relative frequency
0.6
0.4
0.2
O
0.6
0.4
0.2
0
0.6
0.4
0.2
O
+
0
+
+
0 1
+
+
1
0
+
1
+
2
+
2
2
3
3
3
+
5
observations
4
4
+ +
+
4
CO
6
+
6
5
observations
+
5
observations
+
6
7 8
+
7
7
+
8
9 10
9
10
8 9 10](https://content.bartleby.com/qna-images/question/3f33cc2f-0221-41a8-a3a2-cc96bc7960a2/6f49420b-1971-42fb-9e9e-40e5789b5af2/sqwbppm_thumbnail.png)
Transcribed Image Text:d) Sketch relative frequency histograms for each dataset below (these are discrete datasets; your bars
should not touch). Mark the mean for the dataset on the x-axis.
a)
relative frequency
b)
relative frequency
이
relative frequency
0.6
0.4
0.2
O
0.6
0.4
0.2
0
0.6
0.4
0.2
O
+
0
+
+
0 1
+
+
1
0
+
1
+
2
+
2
2
3
3
3
+
5
observations
4
4
+ +
+
4
CO
6
+
6
5
observations
+
5
observations
+
6
7 8
+
7
7
+
8
9 10
9
10
8 9 10
Solution
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