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An investigation to compare the height and weight of Mayfield High pupils in Years 7 and 11.

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Introduction

LouisFranks  11PC  11X2                                                                                                                               3/3/03

An investigation to compare the height and weight of Mayfield High pupils in Years 7 and 11

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
  • Scatter graphs with lines of best fit to show the trend
  • 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.

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Middle

For the Year 7 Cumulative Frequency graph for weight you can tell that the girls have a more tightly packed range of weight and that nearly all of the girls are in the middle half of the table. There is more variation either side for the males, meaning that in the girls the interquartile range is smaller.

For the Year 7 Cumulative Frequency graph for height, the graphs are very similar; the only main difference is that the girls’ graphical result doesn’t flow as well and some of the points don’t fit the line properly. This either means that the girls’ height varies a lot or my sample that I have is not a true sample of the year 7 girls’ height.

Standard Change

By using the excel formula ‘=STCHA(D2:D41)’ which I looked up,  I was able to calculate the standard change of my tables and my selected data,

For year 7 Boys height the standard change is 0.099m to 3 d.p

For year 7 Girls height the standard change is 0.120m to 3 d.p.

The girls S.C. was greater then the boys which means that the boys data was closer together and more better data, I expected since when I was drawing the cumulative frequency graph I found the girls data was not following a proper curve where as the boys fitted in a lot more nicely

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Conclusion

Other Conclusions

Something I noticed in my graphs was the variation in the data, on nearly all of the graphs the girls had the closer 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 change of the data the females S.C. 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 too 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 would be more accurate and therefore so would the data.

yhannka February 20, 2003 This essay downloaded from coursework.info http://www.coursework.info/

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