The human body is a complex, highly organized structure of cells that work together to accomplish the specific functions necessary for sustaining life. Each human has individual characteristics that uniquely define who they are, but there are characteristics about the human body that have much less variability. One of these is the measurement around the calf muscle's widest part. For this dataset, N = 507 individuals in their twenties and thirties who exercised several hours each week measured around the widest part of both calf muscles and the average maximum girth in centimeters was recorded. We will use this data to get better acquainted with the Empirical Rule. Empirical Rule 68% of data 95% of data 99.7% of data -30 -20 -1o +1o 20 +30 For data that can be reasonably assumed to follow a normal distribution with mean u and standard deviation a, the Empirical Rule can be used to get a sense of where the data values are located in the distribution with regards to the mean. Refer to the graphic above to find the missing values below. For a distribution that is symmetric and bell-shaped, the Empirical rule tells us that 1. Approximately % of the values are within 1 standard deviation of the mean. 2. Approximately 3. Approximately 99.7% of the value are within % of the values are within 2 standard deviations of the mean. |standard deviations of the mean.
The human body is a complex, highly organized structure of cells that work together to accomplish the specific functions necessary for sustaining life. Each human has individual characteristics that uniquely define who they are, but there are characteristics about the human body that have much less variability. One of these is the measurement around the calf muscle's widest part. For this dataset, N = 507 individuals in their twenties and thirties who exercised several hours each week measured around the widest part of both calf muscles and the average maximum girth in centimeters was recorded. We will use this data to get better acquainted with the Empirical Rule. Empirical Rule 68% of data 95% of data 99.7% of data -30 -20 -1o +1o 20 +30 For data that can be reasonably assumed to follow a normal distribution with mean u and standard deviation a, the Empirical Rule can be used to get a sense of where the data values are located in the distribution with regards to the mean. Refer to the graphic above to find the missing values below. For a distribution that is symmetric and bell-shaped, the Empirical rule tells us that 1. Approximately % of the values are within 1 standard deviation of the mean. 2. Approximately 3. Approximately 99.7% of the value are within % of the values are within 2 standard deviations of the mean. |standard deviations of the mean.
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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Transcribed Image Text:The human body is a complex, highly organized structure of cells that work together to accomplish the specific functions necessary for sustaining life. Each human has individual
characteristics that uniquely define who they are, but there are characteristics about the human body that have much less variability. One of these is the measurement around the calf
muscle's widest part. For this dataset, N = 507 individuals in their twenties and thirties who exercised several hours each week measured around the widest part of both calf muscles
and the average maximum girth in centimeters was recorded.
We will use this data to get better acquainted with the Empirical Rule.
Empirical Rule
68% of data
95% of data
99.7% of data
-30
-20
-1o
+1o
20
+30
For data that can be reasonably assumed to follow a normal distribution with mean u and standard deviation a, the Empirical Rule can be used to get a sense of where the data values
are located in the distribution with regards to the mean.
Refer to the graphic above to find the missing values below. For a distribution that is symmetric and bell-shaped, the Empirical rule tells us that
1. Approximately
% of the values are within 1 standard deviation of the mean.
2. Approximately
3. Approximately 99.7% of the value are within
% of the values are within 2 standard deviations of the mean.
|standard deviations of the mean.
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