• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month
Page
  1. 1
    1
  2. 2
    2
  3. 3
    3
  4. 4
    4
  5. 5
    5
  6. 6
    6
  7. 7
    7
  8. 8
    8
  9. 9
    9
  10. 10
    10
  11. 11
    11
  12. 12
    12
  13. 13
    13
  14. 14
    14
  15. 15
    15
  16. 16
    16
  17. 17
    17
  • Level: GCSE
  • Subject: Maths
  • Word count: 3039

Investigate weather or not the co-op or walkers crisps advertise their weight more accurately.

Extracts from this document...

Introduction

Krystina Henderson

Maths Coursework-Statistics

Introduction

        This piece of coursework is my statistics coursework. For this piece of coursework I will be investigating weather or not the co-op or walkers crisps advertise their weight more accurately. Their advertised weight is 25grams.

Hypothesis

        For my hypothesis I predict that the walkers crisps will be more accurate to their advertised weight of 25grams, than the co-op crisps who’s advertised weight is also 25grams. I predict this because walkers are a bigger manufacturer and therefore I think they will try harder to be truer to the ideal weight.  

Plan

        For this piece of this coursework I will be collecting data, to collect the data I will use cluster sampling to collect the data on the weight of all the crisps, and to find the weight of a empty packet of crisp. I will use random sampling to choose which pieces of data I am going to use. I will be using cluster sampling and random sampling to make sure the data is unbiased.

I am going to group the data because I feel it will be easier to work with if I group it, as I have a lot of data to work with.

...read more.

Middle

27.50≤w<28.00

0

27.75

0

Total

48

Total

1175.5

                Estimated mean = Total MGV X Freq

                                                       Total Freq

                                           = 1175.5

                                                         48

                                                    = 24.48958333

                                                    = 24.49 (2.d.p)

Walker’s Crisps

Group

Freq

MGV

MGV X Freq

20.50≤w<21.00

1

20.75

20.75

21.00≤w<21.50

0

21.25

0

21.50≤w<22.00

0

21.75

0

22.00≤w<22.50

0

22.25

0

22.50≤w<23.00

0

22.75

0

23.00≤w<23.50

0

23.25

0

23.50≤w<24.00

0

23.75

0

24.00≤w<24.50

3

24.25

72.75

24.50≤w<25.00

13

24.75

321.75

25.00≤w<25.50

18

25.25

454.5

25.50≤w<26.00

9

25.75

231.75

26.00≤w<26.50

2

26.25

52.5

26.50≤w<27.00

1

26.75

26.75

27.00≤w<27.50

0

27.25

0

27.50≤w<28.00

1

27.75

27.75

Total

48

Total

1208.5

                 Estimated mean = Total MGV X Freq

                                                          Total Freq

                                          = 1208.5                        

                                          48

                                  = 25.17708333

                                            = 25.18 (2.d.p)

I am now going to do a cumulative frequency graph also known as a c.f. graph. I am using this because I want to find the median for both the CO-OP crisps and the Walker’s crisps.

CO-OP Crisps

Group

Frequency

22.00≤w<22.50

1

22.50≤w<23.00

1

23.00≤w<23.50

2

23.50≤w<24.00

7

24.00≤w<24.50

10

24.50≤w<25.00

17

25.00≤w<25.50

7

25.50≤w<26.00

2

26.00≤w<26.50

1

26.50≤w<27.00

0

27.00≤w<27.50

0

27.50≤w<28.00

0

Group

C.F

22.00≤w<22.50

1

22.50≤w<23.00

2

23.00≤w<23.50

4

23.50≤w<24.00

11

24.00≤w<24.50

21

24.50≤w<25.00

38

25.00≤w<25.50

45

25.50≤w<26.00

47

26.00≤w<26.50

48

26.50≤w<27.00

48

27.00≤w<27.50

48

27.50≤w<28.00

48

From this cumulative frequency graph I can see that the median weight for the CO-OP crisps is 24.6grams. This is lower than the advertised weight, which means the CO-OP are overestimating the weight of their crisps by an average of 0.4g, but this could still make a big difference! The upper-quartile range is 24.9, and the lower quartile range is 24.00g.

...read more.

Conclusion

Analysis

Summary Table

Walker’s

Co-op

Estimated mean

25.18 (2.d.p)

24.49 (2.d.p)

Estimated mode

25.2

24.7

Median

25

24.6

Interquartile range

0.7

0.9

Standard Deviation

0.8

0.7

My data shows that the Walkers estimated mean is 25.12 as this is over 25 it suggest that walkers are overestimating the weight of their crisps while the Co-op estimated mean is 24.49 which suggest the opposite they are underestimating the weight of their crisps. The estimated mode for walkers is 25.2 and the estimated mode for Co-op is 24.7, which again suggest walkers are overestimating and the Co-op is underestimating the weight of their crisps.

        All this data suggest that my hypothesis is correct. As Walkers crisps are truer to their advertised weight and there is extra in their crisps as well. From my data it seems that the Co-op underestimate the weight of their crisps.

         The factors that could have effected my results would be any outliers, or incorrect readings.

This is my result from my standard deviation for the Co-op crisps.

Co-op

Standard deviation = 0.772211260  - 0.77(2.d.p)

Mean                     = 24.0445625   - 24.04

This is my result from my standard deviation for the Walkers crisps.

Walkers crisps

Standard deviation = 0.853581466  - 0.85(2.d.p)

Mean                     = 25.18288462 – 25.18 (2.d.p)

I am now going to show the results of my Standard deviation on a table.

...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.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related GCSE Height and Weight of Pupils and other Mayfield High School investigations essays

  1. A hypothesis is the outline of the idea/ideas which I will be testing and ...

    by 20= 4 Below are the Results of my Sample Surname Forename Right Handed IQ Level SAT's Results Robinson Luke Left 100 4 4 4 Lister Kuta Left 104 4 5 4 Abejurouge Henry Right 89 3 3 3 Aberdeen Richard Right 103 4 5 4 Acton Jenny Right 108

  2. Maths Data Handling

    Weight (kg) 127 38 136 38 142 33 145 42 150 37 162 48 133 29 141 48 148 40 173 74 177 74 147 42 152 52 158 50 170 50 170 47 181 68 163 50 166 66 170 57 182 76 136 35 146 37 162 50 184 78 Height, h (cm)

  1. maths statistics coursework

    Hypothesis There is a stronger correlation between Height and Weight for Boys and Girls. The correlation between height and weight is stronger for girls than it is for boys in years 10 and 11. I believe this will happen because girls are most likely to start their puberty before

  2. Maths Statistics Coursework

    42 Female 7 1.51 50 Female 7 1.59 54 Female 7 1.63 50 Female 7 1.59 41 Female 7 1.48 39 Female 7 1.45 Male 7 1.48 44 Male 7 1.55 53 Male 7 1.62 48 Male 7 1.60 40 Male 7 1.42 26 Male 7 1.59 45 Male 7

  1. Data Handling Coursework

    58 1.68 63 1.62 92 1.79 72 This graph shows linear positive correlation. As height increases in year 11, the weight of the pupils increases. The Pearson's correlation coefficient for year 11's pupils is 0.246493 which shows more strong correlation than for year 8 pupils.

  2. maths coursework t-shapes

    45 46 47 48 49 50 51 52 53 54 Hypothesis: I believe that there is a relationship between the T-Number and T-Total. My hypothesis is that as the T-Number increases, so does the T-Total. This is because we know the formula for the nine number grid is 5n- 63,

  1. statistics coursework

    70 5 70 < w ? 80 1 80 < w < 90 1 Girls (weight) Boys (weight) Girls (average hours of T.V watched in 1 week) Average number of hours of T.V watched a week Tally Frequency 0 < h ? 5 2 5 < h ?

  2. Mayfield data

    11: 170 Divided by 1183 Multiplied by 360 = 52 Degrees Total 360 Degrees Mean and Mode of Frequency Data I will now find the Mean, Median and Mode of the Frequency that I have found and this will be quick efficient and reliable and will help me gain evidence

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work