• 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

My hypothesis is that the top 3 sets (A, B and C) predict both the size of the angles and the lengths of the line better than the middle 3 sets

Extracts from this document...

Introduction

My hypothesis is that the top 3 sets (A, B and C) predict both the size of the angles and the lengths of the line better than the middle 3 sets (D, E and F) and the bottom sets (G, H and I). I think this is correct because the top set is supposed to be smarter and I think they should be able to estimate closer to the correct amount. The are 185 pieces of data in the whole population. 77 are in the top sets. 70 are in the middle sets. 38 are in the bottom sets. Overall, there is too much data so I need to choose a sample. I need to make sure my sample size is appropriate. 10 will be too small and is not enough to represent my population and 100 will be too large. I will choose a sample size of 40 as that is not too small and not too large. It is just over 20% of my population so it is enough to get a representative amount of data. There are not the same amount of people in top, middle and bottom sets so I cannot have the same amount of people from each group. They have to have the same proportion. I worked this out in the table below: Set How many people in total Calculation Answer Sample size Top sets (A, B, C) 77 40*(77/185) 16.64 17 Middle sets (D, E, F) 70 40*(70/185) 15.14 15 Bottom sets (G, H, I) 38 40*(38/185) 8.22 8 Now I know how many people I am going to take from each set, I need a random way of picking people so everyone has a fair chance of being picked. I knew of the random key on the calculator and decided that that was the fairest way of picking the data but first I wanted to see how the random key worked. ...read more.

Middle

The top set mean is less than the overall mean and is the actual value. It is closer to the actual value than the other means so I am on the right track with my hypothesis. The middle set mean too large and is 8 away from the actual value. The bottom set is too small and is 7 away from the actual value so the bottom set had a better mean than the top set. Top and bottom set have a mode of 60 which is 4 away from the actual value and better than the middle set mode of 70 which is 6 away from the actual value. This means that more people thought the size of the angle was 60 and 70. As I said before, the median shows a typical value. Surprisingly the top and bottom set also have the same median on 60 again and the middle set is further off with a median of 70. So far it seems as though the bottom set predicted angles better than the middle set. The range shows how spread out the data is. The top set has the smallest range of 37 than the middle and bottom sets which have a range of 45. This means that the top sets results had less spread than the other two sets. The top set had the best mean and range. It was joint with the bottom group with the best mode and median so it is fair to say that top set were better at estimating angles than the bottom and middle sets so far. The surprising this that it seems as thought the bottom set are better than the middle set by the means I have been using to compare so far. Now I will look at the lengths Stem and leaf for lengths I will do stem and leaf for the lengths now. ...read more.

Conclusion

However the top set got the mean most far-off as even the bottom groups mean was smaller than it. In the standard deviation however, the top set got the smallest so their data was less spread out. The bottom set has the highest standard deviation so its data was the most spread out and few people got the accurate length.. As the standard deviation is more accurate than the mean, top set still got good estimates. Scatter diagram I wanted to see if there was any correlation between peoples estimates on the angles and the lengths. To make this fair I took the x value of what I done in the standard deviation which showed either "Angle - Actual value (59)" or "Length - Actual Value (64)". I plotted the angle on the x axis and the length on the y axis. For the top set, there seems to be a very weak positive correlation between the lengths and angles. I have drawn a line of best fit but 7 out of the 17 pieces of data are very far away from the line of best fit. I drew another scatter diagram for the middle sets and bottom sets on the following page. There seems to be no correlation for these scatter diagrams as well. This shows that they estimates the pupils made about the length of the line and the size of the angle were not related. Conclusion For angles, my hypothesis was correct as top set had better mean, median, mode and range. It also had a better box plot and standard deviation. For the lengths of the line however, it was not as simple to see which set predicted the lengths better. Top set had the worst mean but the best standard deviation. Top set didn't get a good mode or median but it had the smallest range. From the box plots, it was impossible to see which set done better. So overall my hypothesis was right for the size of the angle but not for the length of the line. ?? ?? ?? ?? 1 ...read more.

The above preview is unformatted text

This student written piece of work is one of many that can be found in our GCSE Accounting & Finance 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 Accounting & Finance essays

  1. Management Accounting Report.

    �54,025 Thinking that it is not fare to separate the overhead e.g. foreman salaries based on the number of the employees as the department with more employees does not need to spend a lot of time to do the work because there are to many people working.

  2. The Purpose of Keeping Accurate Accounts

    explanations we require for our audit, or if information specified by law regarding directors' remuneration and transactions is not disclosed. The auditors read the other information contained in the annual report and consider the implications of their report if they become aware of any apparent misstatements or material inconsistencies with the financial statements.

  1. Responsible accounting is the ability to conduct business in a way that is not ...

    The conversion costs necessary to convert the 500 units half done is the same as those needed to process 250 finished units. Thus the equivalent production for the period is 500 units for materials, 250 for conversion costs. The second issue that must be decided is how to treat beginning inventory.

  2. What does Finance involve.

    Some of the websites were unsuitable because the prices of the products were to expensive or they were overseas. Also I rejected some companies and went for the once I have chosen above because they did not sell specific products that would be suitable for my shop so there was

  1. Customer Intimacy and Other Value Disciplines

    (A friend has even joked, that in the future, they will have a day surgery department.) Has Wal-Mart reached the limits of lowering costs? Absolutely not. As indicated, they have a variety of initiatives that are being examined. The first initiative involves using Radio Frequency Identification (RFID)

  2. Identifying and describing the main financial service needs for a student starting at university

    and the maximum withdrawal a day is �300. Internet Banking is available 24 hours a day. This can be used to register accounts and transferring money from one account to another. It is also used for setting up standing orders or paying bills.

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