Rugby Investigation
Problem
I wonder if the median heights of the forward pack are taller than the median heights of the backs in the game of rugby found in the NZGrapher data base. I think that forwards are taller as well as being heavier because of their attacking power and ability to score tries up front.
Plan
I will be using information from the rugby data set provided from NZGrapher. I will take a random sample of 100 players. As long as my sample is a reasonable size, I can be confident that my sample of 100 players will represent the population I am investigating from the NZGrapher database.
Data
I wonder if the median heights of the forward pack are taller than the median heights of the backs in the game of rugby found in the NZGrapher data base. I think that forwards are taller as well as being heavier because of their attacking power and ability to score tries up front.
Plan
I will be using information from the rugby data set provided from NZGrapher. I will take a random sample of 100 players. As long as my sample is a reasonable size, I can be confident that my sample of 100 players will represent the population I am investigating from the NZGrapher database.
Data
Analysis
Central Tendency
From the graph above I notice that the sample median height for forwards is 1.90m which is taller than the median height for the backs at 1.82m, a difference of 0.08m or 8cm. This means that the forwards are taller than the backs from the NZGrapher data base.
Central Tendency
From the graph above I notice that the sample median height for forwards is 1.90m which is taller than the median height for the backs at 1.82m, a difference of 0.08m or 8cm. This means that the forwards are taller than the backs from the NZGrapher data base.
Spread
I notice that the middle 50% ,(IQR) for forwards is 11cm,
(1.95 - 1.84). This is larger than the middle 50 % ,(IQR) for the backs, 6cm (1.85 - 1.79). This means there is more variation of weights within the sample of forwards.
Shape
I also notice that the shape of the forwards data is skewed slightly to the right and the shape of the backs data is skewed slightly to the left.
I notice that the middle 50% ,(IQR) for forwards is 11cm,
(1.95 - 1.84). This is larger than the middle 50 % ,(IQR) for the backs, 6cm (1.85 - 1.79). This means there is more variation of weights within the sample of forwards.
Shape
I also notice that the shape of the forwards data is skewed slightly to the right and the shape of the backs data is skewed slightly to the left.
Sampling Variation
If I did another sample my statistics would be different. This means the median and confidence intervals would also be different. However the population median would most likely still fall within the confidence intervals. Although if I took a larger sample the interval would have less variability and the confidence interval would be smaller.
If I did another sample my statistics would be different. This means the median and confidence intervals would also be different. However the population median would most likely still fall within the confidence intervals. Although if I took a larger sample the interval would have less variability and the confidence interval would be smaller.
Conclusion
From my statistics gathered I am reasonably confident that from the NZGrapher database, the median weight for forwards lies between 1.87 and 1.92kg. I am reasonably confident that from the NZGrapher database, the median weight for backs lies between 1.81 and 1.83 kg. In conclusion from the results gathered the confidence intervals do not overlap therefore I can say that forwards are heavier than backs in the NZGrapher database.
From my statistics gathered I am reasonably confident that from the NZGrapher database, the median weight for forwards lies between 1.87 and 1.92kg. I am reasonably confident that from the NZGrapher database, the median weight for backs lies between 1.81 and 1.83 kg. In conclusion from the results gathered the confidence intervals do not overlap therefore I can say that forwards are heavier than backs in the NZGrapher database.