Standard Deviation of Swim Times for King of the Hill Triathlon

In summary, the King of the Hill triathlon race in Kinsale includes a 750 metre swim, a 20 kilometre cycle, and a 5 kilometre run. Maire is using statistical software to analyze data from the race, including each competitor's time for each part of the race. The software has produced a table with summary statistics, including mean, median, mode, standard deviation, sample variance, skewness, range, minimum, maximum, and count. Three entries in the table have been replaced with question marks. To estimate the standard deviation of the swim times, the formula x-mean/standard deviation can be used.
  • #1
markosheehan
136
0
The King of the Hill triathlon race in Kinsale consists of
a 750 metre swim, followed by a 20 kilometre cycle, followed
by a 5 kilometre run.
The questions below are based on the data from the 224
athletes who completed this triathlon in 2010.
Máire is analysing data from the race, using statistical
software. She has a data file with each competitor’s time
for each part of the race, along with various other details
of the competitors.
Máire gets the software to produce some summary statistics and it produces the following table.
Three of the entries in the table have been removed and replaced with question marks (?).

Swim Cycle Run
Mean 18.329 41.927 ?
Median 17.900 41.306 ?
Mode #N/A #N/A #N/A
Standard Deviation ? 4553 3409
Sample Variance 10.017 20.729 11.622
Skewness 1.094 0.717 0.463
Range 19.226 27.282 20.870
Minimum 11.350 31.566 16.466
Maximum 30.576 58.847 37.336
Count 224 224 224Estimate the standard deviation of the times for the swim. can someone help me answer this. do you use the forumula x-mean /standard deviation
 
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  • #2
markosheehan said:
The King of the Hill triathlon race in Kinsale consists of
a 750 metre swim, followed by a 20 kilometre cycle, followed
by a 5 kilometre run.
The questions below are based on the data from the 224
athletes who completed this triathlon in 2010.
Máire is analysing data from the race, using statistical
software. She has a data file with each competitor’s time
for each part of the race, along with various other details
of the competitors.
Máire gets the software to produce some summary statistics and it produces the following table.
Three of the entries in the table have been removed and replaced with question marks (?).

Swim Cycle Run
Mean 18.329 41.927 ?
Median 17.900 41.306 ?
Mode #N/A #N/A #N/A
Standard Deviation ? 4553 3409
Sample Variance 10.017 20.729 11.622
Skewness 1.094 0.717 0.463
Range 19.226 27.282 20.870
Minimum 11.350 31.566 16.466
Maximum 30.576 58.847 37.336
Count 224 224 224Estimate the standard deviation of the times for the swim. can someone help me answer this. do you use the forumula x-mean /standard deviation

$$\text{variance} = (\text{standard deviation})^2$$
 
  • #3
ok thanks and just wondering is their any other way of working it out do you know?
 

FAQ: Standard Deviation of Swim Times for King of the Hill Triathlon

What is the "Standard Deviation"?

The standard deviation is a measure of how spread out the data points are from the mean or average. It tells us the amount of variation or dispersion in a set of data.

Why is the Standard Deviation important in the context of Swim Times for King of the Hill Triathlon?

The Standard Deviation of Swim Times for King of the Hill Triathlon is important because it gives us an idea of the consistency of swim times among participants. A lower standard deviation means that the swim times are closer to the average, indicating a more consistent performance among participants.

How is the Standard Deviation calculated for Swim Times for King of the Hill Triathlon?

The Standard Deviation of Swim Times for King of the Hill Triathlon is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. In simpler terms, it measures how much each data point varies from the average.

What is considered a "good" Standard Deviation for Swim Times for King of the Hill Triathlon?

There is no one answer to what is considered a "good" Standard Deviation for Swim Times for King of the Hill Triathlon, as it can vary depending on the context and specific data set. Generally, a lower standard deviation is desirable as it indicates less variation and more consistent performance among participants.

How can the Standard Deviation of Swim Times for King of the Hill Triathlon be used to improve performance?

The Standard Deviation of Swim Times for King of the Hill Triathlon can be used to identify areas for improvement in training or technique. By analyzing the data and identifying patterns or outliers, coaches and athletes can make adjustments to improve overall performance and decrease the standard deviation. Additionally, monitoring the standard deviation over time can track progress and improvement in consistency.

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