rugby Investigation
yR9/10 and YR11
Problem
I wonder if Springbok players tend to be heavier than All Blacks in the game of Rugby. I will investigate this using a random sample of 135 male rugby players from New Zealand and South Africa in the NZGrapher data base. I will use this data to answer my question. I think that All Blacks will be heavier.
PLAN
I will use NZGrapher to make a comparative box and whisker plot with dots. I will also produce a summary of statistics for my sample.
I wonder if Springbok players tend to be heavier than All Blacks in the game of Rugby. I will investigate this using a random sample of 135 male rugby players from New Zealand and South Africa in the NZGrapher data base. I will use this data to answer my question. I think that All Blacks will be heavier.
PLAN
I will use NZGrapher to make a comparative box and whisker plot with dots. I will also produce a summary of statistics for my sample.
Analysis:
Central Tendency:
The average weight of All Black players is 104 kg which is more than the weights of Springbok players at 101.5 kg, a difference of 2.5kg. This is indicated by the black line in the middle of the boxes.
Spread:
The IQR (middle 50%) for the All Blacks 20 kg whereas the IQR (middle 50%) for the Springboks is 19.5kg. This indicates that there is slightly more variation in the weights of All Black players. Overall visually looking at the dot plot, the All Blacks more spread out than the Springboks.
Conclusion:
The graph shows that the average weights for All Blacks is greater than the average weight for Springboks in this data set. I can make the call that the All Blacks tend to be heavier on average than the Springboks back in the population of International rugby players.
This is confirmed by the median values in the summary statistics above. The median weight for the All Blacks is 104 kg and the median weight for the Springboks is 101.5kg.
YR10/11
The dbm/ovs ratio is 0.11 and since this is less than 1/3 I cannot make the call that the All Blacks tend to be heavier on average than the SpringBoks back in the population of International rugby players.
Central Tendency:
The average weight of All Black players is 104 kg which is more than the weights of Springbok players at 101.5 kg, a difference of 2.5kg. This is indicated by the black line in the middle of the boxes.
Spread:
The IQR (middle 50%) for the All Blacks 20 kg whereas the IQR (middle 50%) for the Springboks is 19.5kg. This indicates that there is slightly more variation in the weights of All Black players. Overall visually looking at the dot plot, the All Blacks more spread out than the Springboks.
Conclusion:
The graph shows that the average weights for All Blacks is greater than the average weight for Springboks in this data set. I can make the call that the All Blacks tend to be heavier on average than the Springboks back in the population of International rugby players.
This is confirmed by the median values in the summary statistics above. The median weight for the All Blacks is 104 kg and the median weight for the Springboks is 101.5kg.
YR10/11
The dbm/ovs ratio is 0.11 and since this is less than 1/3 I cannot make the call that the All Blacks tend to be heavier on average than the SpringBoks back in the population of International rugby players.