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  • Level: GCSE
  • Subject: Maths
  • Word count: 2515

Data Handling Project : Heights of Girls

Extracts from this document...

Introduction

Data Handling Project By Peter Noonan With this project I'm going to try and show that in year 7, girls are in general taller but the males are heavier in weight. By year 11 the boys are taller and heavier. I'm going to try to prove with the information I have been given that although girls tend to grow sooner and faster then boys they stop growing and slow down while boys continue to grow, on average to a taller height and males are heavier across the board no matter if they are taller or not. To do this I will collect different information on the height and weight of girls and boys in year seven and eleven then I will compare results. I will collect the following results in 40 males and females from year 7 and year 11: * Cumulative frequency graphs to show the cumulative totals of 40 people and also to let me find the interquartile ranges * Box and Whisker Diagrams showing the interquatertile ranges * Scatter graphs with lines of best fit to show the trend * Unequal histograms showing how many people are in the different ranges and whether the boys in year 11 have more people in the heavier columns of example * Finding the standard deviation to find out which is the more reliable data I chose this data to collect because its seems to be very suitable for my investigation and shows my maths ability well. ...read more.

Middle

Unequal Histograms (On Prev. Page) From my unequal histograms graphs I can tell that there is most of the people in the middle few bars. In the Year 7 Unequal Histogram for Height that the boys are more towards the end of the graph whereas the females and in greater numbers closer to the beginning then the boys. On the Year 7 Unequal Histogram for Weight, the girls are in greater numbers in the middle and the boys have a much more even spread. This means that the girls are more even in height then the boys. Year 11 Scatter Graph Males and Females I'm now going to draw some scatter graphs for the year 11 groups and find the line of best fit and other data. What Can We Tell From The Scatter Graphs? We can tell from these scatter graphs first of all that the girls have a poorer correlation than the boys, but are in a much closer height bracket whereas the boys have a bigger height bracket and a better correlation. In both of the graphs the majority of people are in the 1.6m to 1.8m range the boys' height however continues after 1.8m unlike the girls and one person reaching 2.06m in height. Very like in year 7 the girls weight is not spread out and the majority are still compacted into the 40kg to 60 kg weight range, although it is now more spread out because before it was all nearly on the 40kg line whereas now it is more spread out but still very compact. ...read more.

Conclusion

I have found that there is some correlation between year and height and weight, as people get older they grow so this is not surprising but I thought I should point out how the year 11 boys were a lot taller and heavier then year 7 boys and the same for year 11 girls and year 7 girls. Other Conclusions Something I noticed in my graphs was the variation in the data, on nearly all of the graphs the girls had the tighter data, and boys were more even. This means that while most of the girls will be on the same level the boys will vary a lot in height and weigh, no matter which year they are in this seems to be true. That would be why when I found the standard deviation of the data the females S.D. was a lot lower. Limitations There were some limitations of my scatter graphs for example, they are not very clear and the points are too big for my likening, you cannot get a true idea of what the graph is showing because it is to small. Another limitation is doing some work by hand but others by computer, I had to this due to the fact I did not know how to draw more complex graphs on the computer, if a computer had done it, the graph word be more accurate and therefore so would the data I got from the graph. ...read more.

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