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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.

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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

...read more.

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

...read more.

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.

...read more.

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

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