Which of the following graphs you would recommend log transformation X' =ln[X] to best transform data into a normal distribution? 4035302520A1510-1 0 1 245 6 7 8 9 1040B35302515105-1 0 1 2 3 4 5 6 7 8 9 1040353025201510-1 0 1 2 3 4 5 6 7 8 9 10XFrequencyFrequencyFrequency 403530D2510524 5 6 7 8 910 11403530 -E25201510-1 0 1 2 3 4 5 6 7 8 9 10FrequencyFrequency3.

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Answered: Which of the following graphs you would…

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

Which of the following graphs you would recommend log transformation X' =ln[X] to best transform data into a normal distribution?

40
35
30
25
20
A
15
10
-1 0 1 2
4
5 6 7 8 9 10
40
B
35
30
25
15
10
5
-1 0 1 2 3 4 5 6 7 8 9 10
40
35
30
25
20
15
10
-1 0 1 2 3 4 5 6 7 8 9 10
X
Frequency
Frequency
Frequency

40
35
30
D
25
10
5
2
4 5 6 7 8 9
10 11
40
35
30 -
E
25
20
15
10
-1 0 1 2 3 4 5 6 7 8 9 10
Frequency
Frequency
3.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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