Central Tendency and Mean Deviation

Question

1. How old are Olympic gymnasts? You are going to look for patterns in data and make conclusions based upon that data.
2. The ages of the 2012 US Olympic gymnastics teams are shown below:
3. Men: 20, 27, 20, 19, 19, 25, 24, 21, 22, 24
4. Women: 16, 16, 18, 15, 16, 16, 23, 16, 22, 20, 20
5. 1. Find the mean of each data set. What can you conclude based upon these numbers? Explain using complete sentences. (10 points)
6. 2. Find the Mean Deviation (or MAD) of each data set. What can you conclude based upon these numbers? Explain using complete sentences. (10 points)
7. 3. Based upon your answers to questions 1 and 2, explain these results in terms of gymnastics performance and age. Explain using complete sentences. (10 points)

Answer 1

Use Statistics Descriptive Calculator: https://www.calculatorsoup.com/calculators/statistics/descriptivestatistics.php

5 Mean age of Men gymnastics: 22.1 Mean Absolute Deviation (MAD): 2.32

Mean age of Women gymnastics: 18 Mean Absolute Deviation (MAD): 2.36

From means, it is evident that on the average women gymnastics are 4 years younger than men gymnastics implies that women starts early. Therefore, women

have more years than men before they mature out from competition age.

From MAD values it is evident that variation in age of participants is the same

regardless of sex. Therefore, performance does not depend on number of

men or women participation in a specific game. I hope this helps.

Sincerely,

Shailesh (Sky) K.