Answered: 3. a) Consider the dataset below: •…

Math

Statistics

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

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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

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Follow-up Questions

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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?

Solution

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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

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