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We were given a spreadsheet with data of 370 students of girls and boys in years 10 and 11. The data includes students' height, weight, age, eye colour, hair colour, and so on. From this data, I was asked to investigate the comparisons.

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Introduction

Statistics coursework

Introduction

We were given a spreadsheet with data of 370 students of girls and boys in years 10 and 11. The data includes students’ height, weight, age, eye colour, hair colour, and so on. From this data, I was asked to investigate the comparisons on selected parts of my data. I decided to investigate the relationship between the heights and weights and who is taller and has more variated heights from the year 10 and 11 and the boys and girls.

My hypothesis is that the taller you are the more you would weigh. I am going to use a scatter diagram to prove this. If I were right, on my scatter diagram there would be a positive correlation. The other hypothesis is that the boys will be taller then the girls and that the girls will have a more variated data. The year 11’s will be taller as the year 10’s are younger. I will produce four box plots to show who is taller and I will use interquartile range to show the variation of the heights.

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Middle

Total

10

106

94

200

11

84

86

170

Total

190

180

370

Scatter diagram

I used a scatter diagram to compare the heights and weights of the 40 students. It is easier to compare figures using scatter diagrams because if you were to use a bar chart for example you would have two charts in which case would be harder to compare. In addition, in a scatter diagram you have a line of best fit which from that you can prove whether there is a weak or strong, positive or negative correlation.

It is easier and accurate doing this method on the computer, as it will plot the data at a specific point you want it too. This is how I used the computer to draw my scatter diagram. I recorded my data on Microsoft excel. I highlighted my data, and then clicked on chart wizard, which allowed me to use a variety of graphs and charts, but as I was comparing two pieces of data, I had to use a scatter graph.

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Conclusion

. Standard deviation takes into account all the data unlike the box plot where it just looks at the lower quartile, median and upper quartile. It is useful in comparing sets of data, which may have similar mean but a different range. If a set has a low standard deviation, the values are not spread out too much.

 To work out the standard deviation for my data I first calculated the mean for each piece of my data.

Conclusion

I did this so that I could prove whether my hypothesis was right as I said that the taller you are the more you would weigh. I was partly right because as you can see on my scatter diagram there is a weak positive correlation.

I found out that the boys were overall taller then girls because as my box plot shows the median of the yr 10 boys and the yr 11 boys higher then the yr 10 and 11 girls.

...read more.

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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