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# Maths project. I asked some of my friends, and got the data that I need for this project. In this essay I would like to analyse the data I got to find out the relationship between students income and spent on coffee.

Extracts from this document...

Introduction

Mathematics project

This project is about the students’ income per week after rent and spent on coffee. I asked some of my friends, and got the data that I need for this project. In this essay I would like to analyse the data I got to find out the relationship between students’ income and spent on coffee.

 Income per week Spent on coffee 1 100 2*10 2 120 2*5 3 150 2*10 4 90 2*3 5 150 0 6 150 2*5 7 110 2*14 8 100 0 9 150 2*15 10 200 2*15 11 160 2*7 12 140 2*14 13 150 2*7 14 180 2*5 15 160 2*10 16 200 2*4 17 220 2*7 18 120 2*5 19 250 2*1 20 170 2*5

Here is the table, which shows the data I got. The table shows how much do these people earn and how much they spent on coffee. I supposed a cup of the coffee cost 2, then multiply by how many cups they have, and then got the results.

Frequency Table

Middle

240-250

Frequency

3

3

6

3

1

2

1

1

 Spent on coffee 0-2 4-6 8-10 12-14 16-18 20-22 24-26 28-30 frequency 3 1 6 3 0 3 0 4

Histogram graph

A histogram is a type of bar chart. On the x-axis I put my data group; on the y-axis I put the frequency of the data. One of the more commonly used pictorials in statistics is the frequency histogram, which in some ways is similar to a bar chart. In this project, it tells how much income and how much spent on coffee are in each numerical category.

Here is a table I rearranged which shows how much income and how much spent on “take away” coffee per week. I use mean and median to calculate the X(income) and Y(spent on coffee).

 X 90 100 100 110 120 120 140 150 150 150 150 150 160 160 170 180 200 200 220 250 Y 6 20 0 28 10 10 28 20 0 10 30 14 14 20 10 10 30 8 14 2

Conclusion

R2=0.001

It means the income and spent on coffee have completely no correlation.

The regression line is defined by two numbers - the gradient and the intercept on the vertical axis of the line that best fits those points

I use the formula below to calculate the A and B .

A=17.9

B=-0.03

So,  b+ax=-0.03+17.9x

In conclusion, I like to say that the income have no correlation with the spent on coffee. I calculate mean average, standard deviation, 1.96σ, cumulative frequency with lower quartile, median quartile and upper quartile. I also used correlation and a+bx, in order to figure out the relationship between the incomes and the costs on coffee. Finally, I found there is no relationship, no matter the person has higher income or lower income. Maybe the person who spent on coffee more than others just because the person likes coffee.

This student written piece of work is one of many that can be found in our International Baccalaureate Maths section.

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