ged_math_lesson_13_ec_final.pdf

# What is the mean score for the winning team in the

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1. What is the mean score for the winning team in the Super Bowl? Make sure to show or explain your method. (34+21+31+31+27+17+29+21+24+32+48+20) /12 = 335 /12 = 27.92 2. What is the mean score for the losing team in the Super Bowl? Make sure to show or explain your method. (31+17+25+17+23+14+17+10+21+29+21+17) / 12 = 242 / 12 = 20.17 3. By using the mean of the winning and losing scores, what is the mean Super Bowl final score? By how many points on average does the winning team beat the losing team by? Mean of the winning and losing scores = (27.92 + 20.17) / 2 = 24.05 Differences between the winning and losing scores are; 3, 4, 6, 14, 4, 3, 12, 11, 3, 3, 27, 3. The mean of those differences if 93/12 = 7.75 4. Find the median score of the winning teams in the Super Bowl. Make sure to show or explain your method. 17 20 21 21 24 27 29 31 31 32 34 48 = winning scores arranged from smallest to largest. So, the median winning score is 27 + 29 = 56/2 = 28. 5. Find the median score of the losing teams in the Super Bowl. Make sure to show or explain your method. 10 14 17 17 17 17 21 21 23 25 29 31 = losing team scores arranged from smallest to largest. So, the median losing score is (17+21)/2 =19. 6. By using the median of the winning and losing scores, what is the median Super Bowl final score? Using the median, by how many points on does the winning team beat the losing team by? Maybe the median final Super Bowl score would be the average of 28 and 19 which is 28 + 19 = 47/2 = 23.5. The winning team usually wins by 28 19 = 9 points. 7. Now that you have used both the mean and median to explore the typical Super Bowl score, which statistic seems to better represent the data? Why? I’m not sure that either is more representative. The median losing team score is a score that is much closer to the lowest losing score than the highest losing score. There are also 4 losing scores of 17. So the mode is 17 and 19 is pretty close to the mode. The mode of 17 makes the median values weighted more heavily in the 17 score. 8. Looking at all scores, winning or losing, is there a mode of the data set? If so, what is it? Knowing what you know about football, does it make sense that this score would be the mode? 17 appears in the losing scores four times and once in the winning scores. It appears a total of five times making it the only mode. 9. Another statistic that we have not talked about is the range. Find the range for each: a. Which of the twelve Super Bowls had the greatest range? Which Super Bowl was that and what was the range? Tampa Bay 48, Oakland 21 range = 27 points Super Bowl 37 = XXXVII
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