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. State NamePercent of persons living below the federal poverty levelAlabamaAlaska15.510.1ArizonaArkansasCaliforniaColorado13.516.211.89.3Connecticut10.0Delaware11.3District of ColumbiaFlorida13.512.7GeorgiaHawaii13.39.3Idaho11.2llinois11.5Indiana11.9lowa11.2Kansas11.4KentuckyLouisiana16.319.0Maine10.9MarylandMassachusettsMichiganMinnesota9.09.413.09.0MississippiMissouriMontanaNebraska19.612.912.69.9NevadaNew HampshireNew Jersey12.57.39.2Мeхico18.2New York13.0North CarolinaNorth DakotaOhioOklahoma13.610.613.115.2OregonPennsylvaniaRhode IslandSouth Carolina11.412.010.813.8South Dakota11.9Tennessee13.9|Техas13.6Utah8.9Vermont10.2|VirginiaWashingtonWest VirginiaWisconsin9.99.816.010.4yoming10.1 StemLeaves738002334899100112468911223445899120567130013556689141525160231718190 6

Name: Using the stem and leaf plot below, and also given the standard deviat
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Description: 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

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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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.

State Name
Percent of persons living below the federal poverty level
Alabama
Alaska
15.5
10.1
Arizona
Arkansas
California
Colorado
13.5
16.2
11.8
9.3
Connecticut
10.0
Delaware
11.3
District of Columbia
Florida
13.5
12.7
Georgia
Hawaii
13.3
9.3
Idaho
11.2
llinois
11.5
Indiana
11.9
lowa
11.2
Kansas
11.4
Kentucky
Louisiana
16.3
19.0
Maine
10.9
Maryland
Massachusetts
Michigan
Minnesota
9.0
9.4
13.0
9.0
Mississippi
Missouri
Montana
Nebraska
19.6
12.9
12.6
9.9
Nevada
New Hampshire
New Jersey
12.5
7.3
9.2
Мeхico
18.2
New York
13.0
North Carolina
North Dakota
Ohio
Oklahoma
13.6
10.6
13.1
15.2
Oregon
Pennsylvania
Rhode Island
South Carolina
11.4
12.0
10.8
13.8
South Dakota
11.9
Tennessee
13.9
|Техas
13.6
Utah
8.9
Vermont
10.2
|Virginia
Washington
West Virginia
Wisconsin
9.9
9.8
16.0
10.4
yoming
10.1

Stem
Leaves
7
3
8
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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