Answered: Review the plotted data distribution…

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

Review the plotted data distribution for these 1,000 means. Does this approximate a Normal distribution? Does this confirm the first part of the central limit theorem? Why or why not?

Dataframe of 1000 sample means

means

0 572.06

1 498.30

2 443.78

3 462.06

4 577.50

.. ...

995 462.46

996 440.42

997 418.64

998 493.66

999 407.42

[1000 rows x 1 columns]

Frequency
Distribution of 1000 sample means
50
40
30
20
10
0
350
400
450 500 550
Means
4
600
650

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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