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• Level: GCSE
• Subject: Maths
• Word count: 1475

# Mayfield High School Coursework2

Extracts from this document...

Introduction

Maths Coursework:

Data Handling Project

By

11Q

Introduction

I am going to use the secondary data, provided by Mayfield High School, for my investigation.  There is various data provided on each student:-

• name
• age
• gender
• year group
• IQ
• weight
• height
• hair and eye colour
• distanced travelled between home and school and the usual method of travel
• number of siblings
• key stage 2 results

I shall make three hypotheses, related to the data provided by Mayfield High School.  I will collect a suitable amount of data and then carry out statistical calculations on my sample of data, drawing relevant graphs.  I shall then analyse the data in my sample and the graphs, stating whether it supported my hypothesis.

Hypotheses

Hypothesis 1:-

The taller the person, the heavier they are.

This hypothesis compares two different variables, the relationship between height and weight.  It states, the greater the height of the person, the greater the weight of the person.  I will stratify the data that I need, and then use random sampling to collect a suitable amount of data.  I will represent my results clearly, in a table for heights and weights, and I shall carry out any relevant calculations, such as the different averages (mean, mode, median, and range).

Middle

Girls have a higher IQ than boys.

Frequency Polygon of boys’ IQ

Histogram of boys’ IQ

Histogram of boys’ IQ

Frequency Polygon of girls’ IQ

Histogram of girls’ IQ

Hypothesis 3:-

Year 10 boys are taller than year 7 boys.

Histogram of year 7 boys’ heights

 Height (cm) Frequency Frequency Density 140 ≤ x < 145 5 1 145 ≤ x < 150 2 0.4 150 ≤ x < 155 5 1 155 ≤ x < 160 4 0.8 160 ≤ x < 162 2 1 162 ≤ x < 165 4 1.3 165 ≤ x < 170 4 0.8 170 ≤ x < 175 4 0.8

Cumulative Frequency Graph of year 7 boys’ heights

Conclusion

I did two cumulative frequency graphs fro year 7 and 10 boys’ heights.  The cumulative frequency graphs show the median for both, and the results are the same as the ones from the histogram.

To present my results more clearly, I compared the two cumulative frequency graphs together.

To follow up on this, I did two separate box plots for each year group.  The results show the minimum and maximum values, the median, and the upper and lower quartiles.

The Line Graph, for Hypothesis 3

(On page 17)

The line graph shows the mean of both boys in year 7 and year 10 heights.

It shows us, that from the data I picked, boys in year 10 generally have a higher average height than boys in year 7.  This graph is a clear and effective one, supporting my third hypothesis well.

Evaluation

I can see that I have achieved fairly accurate results, in the first, second, and third hypothesis.

However, more evidence may have given me more even more reliable results.  The raw data that I was given from Mayfield High School had many missing measurements and a few mistakes included in it, which may have affected results.

If I had collected the data myself, I could have corrected any faults and ensured reliability.

Applying these improvements to my investigation could improve the reliability.

Overall, I feel that I collected a sufficient amount of sample data, and my results support my three hypotheses.

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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