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• Level: GCSE
• Subject: Maths
• Word count: 3544

# Maths Stats coursework

Extracts from this document...

Introduction

Daniel Knevitt 10S        Statistics Coursework        Mr Andrews

Plan

I have stratified randomly students from a fictional school called Mayfield high and from my own (Framingham Earl High). All the sampled people are from year 10. I wanted to sample sixty students altogether but I had to do 61 because that is what my stratified sample came to.

I have sampled the number of hours of TV they watch per week and their key stage 2 SATs results. I emailed all the necessary people from my school and all the Mayfield high data was supplied to me.

I will be using these methods of comparing my data:

Mode – The most common or most popular data value it is sometimes called the modal value.

The mode is most useful when one value appears much more often than any other. If the data values are too varied, then the mode should not be used. It is the only average that can be used for qualitative (not numerical) data.

Median – To find the median of a set of data, put the values in order of size. The media is the middle value.

For larger sets of data the rule is n+1

2

For sets of data that has an even number of values i.e. 10 than the median value is the difference between the 5th and 6th value.

Mean

Middle

9

7

LQ=9

Watkinson-Powell

Anna

9

8

Barry

Kayleigh

10

9

Collins

Louise

10

10

Bale

Jemma

11

11

Hughes

Donna

12

12

Ullah

Lisa

14

13

Black

Mia

14

14

Median=14

Rogers

14

15

Gorst

Francesca

15

16

Taylor

Jenifer

16

17

Gannon

Natalie

17

18

Allan

Charlotte

21

19

Butterworth

Jessica

24

20

Barker

Lucy

26

21

UQ=26

Knights

Melissa

27

22

Merrywest

Alice

27

23

Finney

Charlotte

29

24

Mutty

Tamsin

29

25

Wilson

Kelly

29

26

Lusher

Leanne

32

27

Range: 27

As you can see I have worked out again the median, lower quartile, upper quartile and the interquartile range again because it has obviously changed. I have used the information that I have been left to draw another box plot.

My new box plot doesn’t tell me a lot more than my last box plots did.

All it showed me that the men’s box plot was a bit more negatively skewed than it showed on the last box plots.

Conclusion

In this investigation I have found out:

• Men on average watch an amount of TV per week 2.179(4sf) times the amount girls do.
• It seams as though girls have other thing to do other than watch TV maybe they see TV as a last resort for boredom whilst boys it might be their first choice of entertainment.

Hypothesis 2

Girls total for their Key Stage 2 SATS results are generally higher than boys because they are much better at concentrating.

These are the two sets of data that I will be comparing:

Female

 Surname Forename Total KS2 SATS Results Collins Louise 9 1 Armstrong Sarah 10 2 Barker Lucy 10 3 Finney Charlotte 10 4 Gorst Francesca 10 5 Ullah Lisa 10 6 Gannon Natalie 11 7 LQ-11 Kelson Nina 11 8 Merrywest Alice 11 9 Barry Kayleigh 12 10 Black Mia 12 11 Durst Freda 12 12 Owen Gemma 12 13 Rogers Jade 12 14 Wilson Alice 12 15 Median-12 Wilson Kelly 12 16 Bale Jemma 13 17 Brown Emily 13 18 Knights Melissa 13 19 Butterworth Jessica 14 20 Fox Serena 14 21 Hughes Donna 14 22 UQ-14 Johnson Leigha 14 23 Lusher Leanne 14 24 Mutty Tamsin 14 25 Taylor-Wall Angela 14 26 Allan Charlotte 15 27 White Helen 15 28 Watkinson-Powell Anna 16 29

Range: 6

Male

 Surname Forename

Conclusion

To work out the line of best fit:

The equation is; y=mx+c

Remember, ‘m’ is the gradient of the line. ‘c’ is the point where the line cuts the vertical axis. ‘y’ and ’x’ are the names of the axis.

horizontal change

So the equation of my line of best fit is;

y=mx+c

Gradient = vertical difference              =       2 _m= 0.0384615

horizontal change                         52

y=0.0384615x+13

Spearman’s coefficient of rank correlation

For this I will need 10 different people to compare, I have chosen the extreme lower and the extreme upper person alphabetically and the lower and upper quartile person alphabetically and the median person. The people I have chosen are highlighted in pink.

 Total KS2 SATS Results 15 13 14 13 12 Average number of hours TV watched per week 32 13 12 34 29 Rank Total KS2 SATS Results 5 2.5 4 2.5 1 Average number of hours TV watched per week 4 2 1 5 3 d 1 0.5 3 2.5 -2 d2 1 0.25 9 6.25 4 20.5

Conclusion

I conclude for this hypothesis that watching more TV does affect your total for your KS2 SATS results but only on a very small scale. There are many other factors that can affect your KS2 SATS results. Here are some of those factors:

• What you watch on TV because some programs are educational and are specifically for helping you with your tests.
• Your natural IQ can affect your results because some people are naturally bright and they think in different ways.
• Your upbringing can affect your results because some parents do not believe in SATS tests and they do not encourage their son/daughter to do well in them.

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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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