### Statistical Analysis of Football Teams' Season WinsThe dataset provided below represents the number of regular season wins for 10 football teams in a given season. The objective is to determine the range, mean, variance, and standard deviation of the population data set.#### Data Set:- Wins: 2, 6, 15, 4, 12, 8, 15, 8, 2, 7#### Analysis:1. **Range:** The range is calculated by subtracting the smallest value in the dataset from the largest value. - Formula: Range = Maximum Value - Minimum Value - In this dataset: Maximum Value = 15, Minimum Value = 2 - Calculation: Range = 15 - 2 - **Result**: The range is **13**.2. **Mean:** The mean (average) is calculated by adding all the values together and dividing by the number of values. - Formula: Mean = (Sum of All Values) / (Number of Values) - Calculation: Mean = (2 + 6 + 15 + 4 + 12 + 8 + 15 + 8 + 2 + 7) / 10 - **Step-by-Step Summation**: - 2 + 6 = 8 - 8 + 15 = 23 - 23 + 4 = 27 - 27 + 12 = 39 - 39 + 8 = 47 - 47 + 15 = 62 - 62 + 8 = 70 - 70 + 2 = 72 - 72 + 7 = 79 - Complete Calculation: Mean = 79 / 10 - **Result**: The mean is **7.9** (to the nearest tenth).3. **Variance and Standard Deviation:** However, the steps to calculate variance and standard deviation are not shown in the image. But for educational purposes, these values are calculated as follows: - **Variance**: Measures the spread of numbers. - Formula for Population Variance: $ \sigma^2 = \frac{1}{N} \sum_{i=1}^{N} (X_i - \mu)^2 $ - Here, $ N $

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Description: ### Statistical Analysis of Football Teams' Season WinsThe dataset provided below represents the number of regular season wins for 10 football teams in a given season. The objective is to determine the range, mean, variance, and standard deviation o

The given data set is: 2 6 15 4 12 8 15 8 2 7 Thus,

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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. 2, 6, 15, 4, 12, 8, 15, 8, 2, 7 ¤ The range is 13. (Simplify your answer.) Lectur The population mean is (Simplify your answer. Round to the nearest tenth as needed.) ts Sources Ecess

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. 2, 6, 15, 4, 12, 8, 15, 8, 2, 7 ¤ The range is 13. (Simplify your answer.) Lectur The population mean is (Simplify your answer. Round to the nearest tenth as needed.) ts Sources Ecess

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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