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• Level: GCSE
• Subject: Maths
• Word count: 1665

My hypothesis which I am going to try and find out is if there is a relationship between the height and weight difference of boys and girls in years 10 and 11.

Extracts from this document...

Introduction

MATHS COURSEWORK

My hypothesis which I am going to try and  find out is if there is a relationship between the height and weight difference of boys and girls in years 10 and 11.

The data, which I am going to use, is examples of height and weight of boys and girls from years 10 and 11. I am going to do this because I think it will be a fair selection because it is over two year groups and I will get a good selection of data

To obtain my data, I will count 1 person in every 10 until I get a total data selection of 30 pupils.  This selection will be carried out for grouping both the males and females together.  When I am carrying out a selection for the females I will carry out my selection by counting 1 girl every 5 times until I get a total of 30 females.  When I will make my last selection on the males I will get my selection by counting 1 boy every 5 times until I get a total of 30 males.

The sources of information which I have collected for the males and females is because I have chosen them randomly by

Middle

I will find the equation of the line of best fit. This will enable me to estimate the weight.

I will then measure the bottom line of the triangle, which is representing the difference in height from one point to another.  I will then measure the vertical line and that will represent the difference in the lowest point of the line to the top and that is the weight.  I will then divide the height and weight together to get my slope.

I will also draw up 3 cumulative frequency tables using the information from the previously tables drawn up..  When I have got a cumulative frequency for each table, I will plot them on graph paper.  From these results I should be able to place these findings on the curve on the graph.  I will then be able to find the median, lower quartile, upper quartile and the inter quartile from the available data.

When I have been able to obtain the median, lower, upper and inter quartiles, I will illustrate these results in to Box plots.  The box plots will be drawn on the same scale for all 3 box plots.  I will do one for the mix, one for females and one for males.

Conclusion

There are two outliers, which represent boys who fall outside the normal scale, and I have chosen not to include them in my correlation, as I feel they do not impact on the overall result.

I drew a triangle on the line of best fit in order to ascertain the slope on the line of best fit so that I can calculate an equation to help estimate the weight of the group.  I calculate that the equation W=0.78h+35, based on these findings.

ANALYSIS OF SCATTER GRAPH

This graph is showing 30 plots in relation to height against weight for the girls.

You can see that most of the girls are approximately the same height and weight.  There were some outliers but again I did not include these in my correlation, as they did not impact on the overall result.

I drew a triangle on the line of best fit in order to ascertain the slope on the line of best fit so that I can calculate an equation to help estimate the weight of the group.  I calculate that the equation W=0.78h+35, based on these findings.

Gary Allen

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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