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In the 2000 Sydney Olympics, a special program initiated
Chapter 6, Problem 24E(choose chapter or problem)
Problem 24E
In the 2000 Sydney Olympics, a special program initiated by IOC president Juan Antonio Samaranch allowed developing countries to send athletes to the Olympics without the usual qualifying procedure. Here are the 71 times for the first round of the 100 meter men’s swim (in seconds). 60.39 49.93 53.40 51.82 50.46 51.34 50.28 50.19 52.14 50.56 52.72 50.95 49.74 49.16 52.57 52.53 52.09 52.40 49.75 54.06 53.50 50.63 51.93 51.62 52.58 53.55 51.07 49.76 49.73 50.90 59.26 49.29 52.78 112.72 49.79 49.83 52.43 51.28 52.22 49.76 49.70 52.90 50.19 54.33 62.45 51.93 52.24 52.82 50.96 48.64 51.11 50.87 52.18 54.12 50.49 49.84 52.91 52.52 50.32 51.52 52.0 52.85 52.24 49.45 51.28 49.09 58.79 49.74 49.32 50.62 49.45
(a) Find the sample mean and sample standard deviation of these 100 meter swim times.
(b) Construct a dot diagram of the data.
(c) Comment on anything unusual that you see.
Questions & Answers
QUESTION:
Problem 24E
In the 2000 Sydney Olympics, a special program initiated by IOC president Juan Antonio Samaranch allowed developing countries to send athletes to the Olympics without the usual qualifying procedure. Here are the 71 times for the first round of the 100 meter men’s swim (in seconds). 60.39 49.93 53.40 51.82 50.46 51.34 50.28 50.19 52.14 50.56 52.72 50.95 49.74 49.16 52.57 52.53 52.09 52.40 49.75 54.06 53.50 50.63 51.93 51.62 52.58 53.55 51.07 49.76 49.73 50.90 59.26 49.29 52.78 112.72 49.79 49.83 52.43 51.28 52.22 49.76 49.70 52.90 50.19 54.33 62.45 51.93 52.24 52.82 50.96 48.64 51.11 50.87 52.18 54.12 50.49 49.84 52.91 52.52 50.32 51.52 52.0 52.85 52.24 49.45 51.28 49.09 58.79 49.74 49.32 50.62 49.45
(a) Find the sample mean and sample standard deviation of these 100 meter swim times.
(b) Construct a dot diagram of the data.
(c) Comment on anything unusual that you see.
ANSWER:
Solution:
Step 1 of 4:
Here the data regarding time in seconds of 100 meter swim for 71 men are given.
Using this we need to find the required values.
Time in seconds:
60.39,49.93,53.40,51.82,50.46,51.34,50.28,50.19,52.14,50.56,52.72,50.95,49.74,49.16,52.57,52.53,52.09,52.40,49.75,54.06,53.50,50.63,51.93,51.62,52.58,53.55,51.07,49.76,49.73,50.90,59.26,49.29,52.78,112.72,49.79,49.83,52.43,51.28,52.22,49.76,49.70,52.90,50.19,54.33,62.45,51.93,52.24,52.82,50.96,48.64,51.11,50.87,52.18,54.12,50.49,49.84,52.91,52.52,50.32,51.52,52.0,52.85,52.24,49.45,51.28,49.09,58.79,49.74,49.32,50.62,49.45