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# What is the relation between height and weight for the whole year?

Extracts from this document...

Introduction

Questions section

In this section, I will answer the questions that I have devised, using graphs and tables to help:

Question one: What is the relation between height and weight for the whole year?

As mentioned earlier, this will be decided using a scatter graph. Firstly though, the information from the whole year needs to be broken up in order to make the graph readable. This is known as 'random sampling'. What will happen is that every 10th person in the whole year will be taken, therefore keeping the results random, but narrowing them down at the same time. Here is the table that shows every 10th person in the year:

These have been ordered by weight, so as you can see, the weights are very randomly organised.

Here is the scatter graph that will determine the overall relation between height and weight:

As you can see, there is an overall positive correlation between height and weight. This means that on the whole, weight increases as height does.

Middle

This will be shown in these pie charts:

1) Females:

This chart shows that most females in the year came in the 1.5 to 1.6 metre category. The next most popular category is 1.7 to 1.8 metres. After this, they are spread out across the lower categories.

2) Males:

This chart shows that  most (around half) of the males fall into the 1.5 to 1.6 metre category, then about a third of them in the 1.7 to 1.8 metre category. the rest are either 1.3 to 1.4 metres or 1.9 to 2.0 metres tall.

Overall:

Overall this shows that there are more males in the higher height categories than in the lower, and more females in the middle to lower height categories than the higher. This proves that on the whole, the males are taller than the females.

Box plots to back up the Results from the height graphs:

These Box-plots were made from the information given by the cumulative frequency graph on the previous page. they portray an easier to read picture of how the heights are arranged.

Conclusion

Overall I think this shows that boys are slightly heavier, but the pie charts are a little hard to take the information from. So, to make this more accurate I am going to put the same information into pie charts.

Bar Graph (1) Females:

As you can see, this chart is much easier to read from and it shows that the girl's weights are definitely concentrated around the middleweights (36 to 40kg group to the 51 to 55kg group). There is very few either side of these popular groups.

Bar Graph (2) Males:

Once again, the 46 to 50kg and 51 to 55kg groups seem to hold most of the boys, but there are more spread out on either side of them. for example there are boys in the 81 to 85kg and 86 to 90kg groups, whereas there aren't any girls in  these weight groups.

Overall:

Overall i think that although the results are very similar, the boys come out just heavier, as in my prediction. This is probably because they are taller, and therefore they have more body mass.

Question 4: What are the most popular height and weight groups for males?

This student written piece of work is one of many that can be found in our GCSE Height and Weight of Pupils and other Mayfield High School investigations section.

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