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height and weight of mayfield school

Extracts from this document...

Introduction

Nazma Khan 11A

Maths course work (handling data)

Height and weight of pupils at Mayfield high school

Introduction

In this coursework I am going to investigate the relationship of weight between boys and girls, in year 7 to year 11. I am going to check whether gender and how old you are affects the result. As a result from these result’s I will compare all the results together and see if my hypothesis is correct. In regard to this the way in which I will test to see that my hypothesis is correct is by first making a pilot test, by randomly selecting number’s of all four year’s then finally putting all my grouped data together and transforming it into a cumulative frequency table.

Hypothesis:

However from this I am now going to focus on the weight of boys and girls. In order to get a result this will determine if my prediction was true.

I am going to investigate to see whether:

  • The older you are the more you weigh in year 7 and year 11 ( girls and boys)
  • I think that boys will weigh more than girls in year 7 and year 11

The reason for me to have such aims and prediction is because I want to be able to challenge those who think the opposite, by gathering my research results, and hoping that my prediction will be correct.

The reason why I have predicted that the older you are the more you will weigh is because in reality from what I have seen from my own experience, and noticed is that as people tend to get older ( meaning both sexes), that their body starts to develop which causes an increases in their body mass.

...read more.

Middle

I used this method through out my research for boys and girls in collecting the numbers and putting it into a frequency table. The results are shown below:

Result 1)

Female in year 7

Frequency

30 < x ≤ 35

2

35 < x ≤ 40

5

40 < x ≤ 45

17

45 < x ≤ 50

14

50 < x ≤ 55

8

55< x ≤ 60

2

60< x ≤ 65

1

65< x ≤ 70

1

From using the above result I am now going to create a cumulative frequency table.

Weight

≤ 35

≤ 40

≤ 45

≤ 50

≤ 55

≤ 60

≤ 65

≤ 70

Cumulative frequency

2

7

24

38

46

48

49

50

                        Total 50

I have now used this results to create a cumulative frequency graph and found out the median, lower quartile, upper quartile and the inter quartile range.

The graph is shown below: (1)

RESULT OF GRAPH:

From looking at the graph I have recognised the median, lower quartile, upper quartile and inter-quartile range.  From this result I am going to use the information to create my box plots.  From looking at the graph I have identified a curve which states to me that my cumulative frequency table if fairly accurate. Using the rest of my result I have found out the same information which will also help me to create my box plot.

Result of the cumulative frequency table, which I have recognised.

Median

Lower quartile

Upper quartile

Inter-quartile range

45.5 kg

42 kg

49.9 kg

7.9 kg

How I got my results:

The way in which I got the results is by looking at my sample size, which was 50 and then finding 50% of it. So 50% of 50 is 25, so by looking at my cumulative and plotting my results, I went to the 25 and followed the line up until it reached the actual cumulative curve. I did this throughout the results, of each of my graph. However in order for me to find out the lower quartile I had to find out 25% of 50 which was 12.5, and the upper quartile was 75% which was 37.5.

...read more.

Conclusion

Evaluation:

Throughout carrying out the research, in wanting to check whether my hypothesis was correct. As a result to this, I believe that to some extent I would agree in saying that my prediction was correct as, my prediction matches with the result in which I obtained for year 7. However looking at the result in which gained in year 11, I have to say that it differs quite a bit.

Furthermore, looking back at the way in which I carried out my investigation, there will certain are of the research in which if I could go back and change it I will complete certain tasks differently. This may include me collecting my sample random number’s differently, as I believe that this was a weak part of my findings. The reason for saying this I because, I believe that my sample may have been incorrect, maybe in the way the data’s where collected, or by the method used to collect the data’s.

However despite, the weakness, there where many strength within this project, this included how it was easy to compare the two year groups, as the result in which I gained was to the point. Also when receiving rouge data’s I was able to avoid it really well, by replacing it with another one. This made my results reliable, as less rouge data’s existed.

Conclusion:

Overall, I believe the project was successful although I would have had liked to see a much better range within the result, to suit my hypostasis. This is because; if my investigation was very accurate and fairly placed, as I hoped then I believe the result would have some difference to the one I received currently.

Moreover, I believe that to some extent my prediction does match with the result but also on the other hand, it may vary.

Mrs Akbar

...read more.

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