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Weight in the Games - Essay Example

Summary

From the paper "Weight in the Games" it is clear that the sample statistics do not give a good representation of the total population hence to ensure accurate measurement of the team’s weight than the number of data should be increased or the whole population data should be used…

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Subject: Statistics
Type: Essay
Level: Undergraduate
Pages: 1 (250 words)
Downloads: 6
Author: wunschathena

Extract of sample "Weight in the Games"

The interquartile range is given as Q1=161 and Q3 is 227.5. It is worth noting that there are no outliers within the data hence range remains at 110. The non-existence of outliers in the box and whisker plot represents a normal distribution of data.

The mean and standard deviation of the five sample data is 192.4 and 39.9554 respectively. From the sample data, the highest weight is 25o while the least weight is 140 hence resulting in a range of 110. The data is positively skewed with the figure standing at 0.311.

Normal curve
Unlike in the box and whisker plot above, the graph above does not show a normal curve. There exist some outliers in the data hence the no normal distribution. The curve starts in a normal shape, deeps a bit then resumes to normal distribution. The whisker plot and the curve are different hence the data does not follow the Empirical Rule.

In statistics, the accuracy of the results is positively correlated to the number of data variables. This explains the mean difference and SD for the population and the sample variables. The population means for the entire team is 214.3 pounds and the population standard deviation for the entire team is 44.6 pounds. On the other hand, the sample mean and standard deviation are 192.4 and 39.9554 respectively. There is a big difference in terms of the statistics because of the difference in the number of data. In a nutshell; using the sample data the average weight of a football player is 192.4 while using the population data the average weight is 214.3. This gives 21.9 differences in mean. This is a very significant figure that cannot be assumed hence the sample statistics do not fairly represent the population parameters.

The whisker plot and the normal curve both show similar results in terms of mean and standard deviation. However, in terms of normal distribution, these two analysis tools differ with whisker plots showing a normal distribution while the curve shows the opposite. In conclusion; the sample statistics do not give a good representation of the total population hence to ensure accurate measurement of the team’s weight than the number of data should be increased or the whole population data should be used. Read More

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