Answered: Using the stem and leaf plot below, and…

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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Using the stem and leaf plot below, and also given the standard deviation is 2.7031 and a mean of 12.156 answer these questions.

4. Let’s assume it is “normal” and follows the empirical rule (68 - 95 – 99.7).

• There are 50 states and the District of Columbia, so 51 total values

• Using the empirical rule and knowing we have 51 different areas, how many of these areas do you expect to fall within one standard deviation of the mean?

5. Give an example of a state or district that falls within one standard deviation of the mean.

6. Give an example of a state or district that falls between one and two standard deviations of the mean.

7. Are there any states that fall more than two standard deviations from the mean? If so give an example.

Stem
Leaves
7
3
8
9
002334899
10
01124689
11
223445899
12
0567
13
0013556689
14
15
25
16
023
17
18
19
0 6

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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