NCAA March Madness Statistics 2018

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NCAA March Madness Statistics 2018 NAME HOUR

111-120 101-110 91-100 81-90 71-80 61-70 51-60 41-50 31-40 21-30 11-20 1-10 March Madness Activity 1 Directions: Choose a college basketball team in the March Madness tournament and create a list of the points they have scored in each of their games this season. No two students may choose the same team. My College Team is: Points Scored for the 2017-2018 season are: Put the data in order from least to greatest: Calculate the following: Mean Mode Maximum: Median Range Minimum Create a histogram showing the number of games in each of the given point ranges.

March Madness Activity 2 Directions: In this part, you will use the regular season game statistics for two teams that will play each other in this round. The match-up you have been assigned is: vs. Find the points scored by your teams in each Conference game that they played in the regular season. Fill in the table below. Conference games should be marked on the team s schedule/results. Please use the college website to find schedule results. If you do not see any markings, please talk to me so I can help. Team Name: Game 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Total Team Name: Game 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Total

March Madness Activity 2 (cont.) For each team, find the mean and the M.A.D. of the points scored in the regular conference season. Be sure to show any necessary work in the space below. Round to the nearest tenth if necessary. Mean Team #1: M.A.D Team #1 Mean Team #2: M.A.D Team #2 Comparing the mean for each team, which team do you predict to win this game in the second round? Explain your prediction: Predicted Winner: Explanation: Consult the internet, newspaper, or television to determine the actual winner of the matchup. Actual Winner:

March Madness Activity 3 Below are the winning scores in the NCAA Men s Basketball Championship game over the last several years. Winning Score in NCAA Men s Basketball Championship Game 2008-2017 Year 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 Score 75 89 61 53 67 82 60 68 77 71 1. Find the following measures of center and variation using the data listed above: Mean: Median: Mode: 1st Quartile: 3rd Quartile: IQR: Minimum: Maximum: Range: 2. Are there any outliers? Explain how you know. 3. Find the mean absolute deviation. Then explain what the M.A.D. represents.

March Madness Activity 3 (cont.) Construct a box plot for the data set. Then use the box plot to answer #5-6. 5. What percentage of winning scores were between 61 and 82 points? 6. Describe the shape of the distribution. 7. University North Carolina won the NCAA championship in 2017. Their scores from last year s tournament are listed below. If their average (mean) score for each game in the tournament was 81.5 points, what was their score against University of Kentucky? Show your work! Date 3/17 3/19 3/24 3/26 4/1 4/3 Opponent Texas So. Arkansas Butler Kentucky Oregon Gonzaga Score 103 72 92? 76 71

March Madness Activity 4 Directions: In this part, you will determine the point margin by which each remaining team in the tournament won their second round game. For example, if Purdue played Iowa State in the second round, and Perdue won 80-72 then the point margin would be 8. Fill in the table below for each of the 32 teams playing in the second round of the tournament. Team Game Winning Team Game Score Winning Point Margin Order the values for the winning point margin. Find the data values and place in the table to the right. Median Minimum: Maximum: 1st Quartile: 3rd Quartile: IQR: Then draw a box-whisker plot. Make sure to include title and labels.

March Madness Activity 5 Directions: In this part, you will use the figures from each of the games played in the 3rd Round (played March 22-23). Winning Team Points Scored Winning Team Points Scored Winning Team Points Scored Create a frequency table that shows the total points scored by a winning team in each third round game. Then make a histogram that models the data shown in the table. Make sure to include title, labels and appropriate scale. Number Points Scored by Frequency 40-49 50-59 60-69 70-79 80-89 90-99 100-109 Using complete sentences, describe the shape of the distribution.

March Madness Activity 5 (cont.) North Carolina won the NCAA championship in 2017. The ages of the players on the Tar Heel roster at the time of the championship are listed below. Player Age Player Age Player Age Nate Britt 23 Tony Bradley 19 Kenny Williams 20 Theo Pinson 21 Shea Rush 19 Aaron Rohlman 20 Joel Berry 22 Kanler Coker 23 Stilman White 24 Kennedy Meeks 22 Brandon Richardson 19 Luke Maye 20 Isaiah Hicks 22 Seventh Woods 18 Justin Jackson 21 Create a line plot to represent the data-make sure to include a title. Find the measures of central tendency of the data listed above. Using complete sentences describe the data in terms of the measures of central tendencies or shape of distribution.