Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us? 46 59 52 37 78 73 80 35 43 45 81 Range = (Round to one decimal place as needed.)
Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us? 46 59 52 37 78 73 80 35 43 45 81 Range = (Round to one decimal place as needed.)
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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![**Jersey Number Analysis: Range, Variance, and Standard Deviation**
**Objective:**
To analyze the jersey numbers of 11 players randomly selected from a football team and determine the range, variance, and standard deviation of this sample data set. This statistical analysis helps us understand the distribution and spread of the jersey numbers.
**Data Set:**
The jersey numbers are as follows:
46, 59, 52, 37, 78, 73, 80, 35, 43, 45, 81
**Task:**
1. Find the range of the given dataset.
2. Determine the variance and standard deviation.
**Range:**
The range of a data set is the difference between the maximum and minimum values.
\[ \text{Range} = \text{Maximum value} - \text{Minimum value} \]
\[ \text{Range} = 81 - 35 \]
\[ \text{Range} = \_\_\_ \] (Round to one decimal place as needed.)
[**Please note:** To find the variance and standard deviation, further calculations involving the mean of the data set and squared differences from the mean are required. These steps have been omitted in the visual provided and can be part of a comprehensive lesson on statistics.]
<<<Diagrams/Graphs Explanation>>>
*There are no diagrams or graphs provided in this image.*
Students should input the correct range rounded to one decimal place and proceed with calculations for variance and standard deviation if required in subsequent steps or exercises.
**End of Analysis**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffea94a50-e8e7-419f-bb62-28be718638fb%2Fc83f6217-d90b-4f25-8597-95e5bb19e986%2Fg0mh2mb_processed.png&w=3840&q=75)
Transcribed Image Text:**Jersey Number Analysis: Range, Variance, and Standard Deviation**
**Objective:**
To analyze the jersey numbers of 11 players randomly selected from a football team and determine the range, variance, and standard deviation of this sample data set. This statistical analysis helps us understand the distribution and spread of the jersey numbers.
**Data Set:**
The jersey numbers are as follows:
46, 59, 52, 37, 78, 73, 80, 35, 43, 45, 81
**Task:**
1. Find the range of the given dataset.
2. Determine the variance and standard deviation.
**Range:**
The range of a data set is the difference between the maximum and minimum values.
\[ \text{Range} = \text{Maximum value} - \text{Minimum value} \]
\[ \text{Range} = 81 - 35 \]
\[ \text{Range} = \_\_\_ \] (Round to one decimal place as needed.)
[**Please note:** To find the variance and standard deviation, further calculations involving the mean of the data set and squared differences from the mean are required. These steps have been omitted in the visual provided and can be part of a comprehensive lesson on statistics.]
<<<Diagrams/Graphs Explanation>>>
*There are no diagrams or graphs provided in this image.*
Students should input the correct range rounded to one decimal place and proceed with calculations for variance and standard deviation if required in subsequent steps or exercises.
**End of Analysis**
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