Name _______________________________________
Statistics Practice
Below are the All Around results from the 2018 and 2019 National Gymnastics Championships. For each gymnast,
calculate their mean and median score.
Gymnast:
Simone Biles
Morgan Hurd
Suni Lee
Jade Carey
Trinity Thomas
Jordan Chiles
Kara Eaker
2019 Day 1
58.650
55.050
56.9
56.1
55.4
55.350
54.650
2019 Day 2
59.850
56.650
56.650
53.850
53.35
55.50
53.450
2018 Day 1
60.1
57.0
55.9
54.950
55.5
53.6
54.8
2018 Day 2
59.750
56.3
55.150
54.750
54.1
53.250
54.850
Mean Score
Median Score
The US Olympic selection committee will pick 4 athletes to make up the US Olympic team. Put a star next to the 4
athletes that you would recommend to the committee.
In addition to mean and median, it could help the US selection committee to know about the standard deviation of
the gymnast’s scores. What does it mean if a gymnast has a small standard deviation between their scores?
What does it mean if a gymnast has a large standard deviation between scores?
Draw a bell curve and label the percentages that fall within each standard deviation. (Don’t worry about labeling
the standard deviation on the bottom). If Simone’s scores are three standard deviations higher than anyone else,
what is her percentile rank? What does this mean?
Simone Biles is currently considered the greatest gymnast of all time. Growing up, her scores were significantly
higher than her peers.
In this case, her scores would be an outlier. Draw a graph that shows a possible mean and median for her
childhood team.
Olympic trials will be held next summer in St. Louis. All of the competitors are incredibly talented, and most will
receive high scores. However, a few individuals will have an off day and receive low scores. Draw a graph that
depicts this scenario. Label a possible mean and median for comparison.