MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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![Here is a transcription of the text from the image, suitable for an educational website:
---
**Statistics of Football Season Wins**
The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance, and standard deviation of the population data set.
**Data Set:**
2, 7, 15, 4, 14, 6, 13, 8, 3, 10
**Calculations and Explanations:**
**1. Range:**
The range is calculated by subtracting the smallest value from the largest value in the data set.
\[ \text{Range} = 15 - 2 = 13 \]
**2. Population Mean:**
The mean (average) is calculated by dividing the sum of all values by the number of values.
\[ \text{Mean} = \frac{2 + 7 + 15 + 4 + 14 + 6 + 13 + 8 + 3 + 10}{10} \approx 8.2 \]
**Simplify your answer. Round to the nearest tenth as needed.**
Input the calculated values in the answer box and then click Check Answer.
---
**Screen Interface Explanation:**
Below the instructions, there is an input field where students are expected to enter their calculated values for the range and mean. After entering the answers, students can click on the "Check Answer" button to verify their results. There is also a progress bar indicating "2 parts remaining", suggesting that there might be further steps or calculations required beyond the initial entries.
---
This educational layout ensures that the concept of statistical calculations for a given data set is effectively communicated, providing clear instructions and step-by-step processes.](https://content.bartleby.com/qna-images/question/5c7c62dd-c6b1-40a7-b3f4-b34aa766f300/e7d078b1-c241-4ea2-97c6-280074fd1ab2/bwjfv2j_reoriented.jpeg)
Transcribed Image Text:Here is a transcription of the text from the image, suitable for an educational website:
---
**Statistics of Football Season Wins**
The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance, and standard deviation of the population data set.
**Data Set:**
2, 7, 15, 4, 14, 6, 13, 8, 3, 10
**Calculations and Explanations:**
**1. Range:**
The range is calculated by subtracting the smallest value from the largest value in the data set.
\[ \text{Range} = 15 - 2 = 13 \]
**2. Population Mean:**
The mean (average) is calculated by dividing the sum of all values by the number of values.
\[ \text{Mean} = \frac{2 + 7 + 15 + 4 + 14 + 6 + 13 + 8 + 3 + 10}{10} \approx 8.2 \]
**Simplify your answer. Round to the nearest tenth as needed.**
Input the calculated values in the answer box and then click Check Answer.
---
**Screen Interface Explanation:**
Below the instructions, there is an input field where students are expected to enter their calculated values for the range and mean. After entering the answers, students can click on the "Check Answer" button to verify their results. There is also a progress bar indicating "2 parts remaining", suggesting that there might be further steps or calculations required beyond the initial entries.
---
This educational layout ensures that the concept of statistical calculations for a given data set is effectively communicated, providing clear instructions and step-by-step processes.
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