• 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
  • Level: GCSE
  • Subject: Maths
  • Word count: 2224

maths estimation coursework

Extracts from this document...

Introduction

Section B

In this section of my assignment, I will carry out my own investigation on estimation similar to the previous investigations I have analysed. Although in this investigation I will improve upon the previous investigations, taking what they left out from their investigations and including it in my own.

I am doing this investigation as the previous investigations had some missing information, and some did not have representative samples, my investigation will be representative of the estimating population and will have more reliable data to ensure that more conclusions can be drawn from the estimations given.

The secondary data from the previous investigations seemed to suggest that there may be a link between estimation and gender, particularly David, Mary and John’s results, I will see if this is the case in my own investigation, while also taking age into consideration at the same time. Also, Michael’s data showed a correlation between estimation of angle and estimation of length. I will explore this also in my investigation.

The estimating population shall be comprised of Year 8’s and Year 12’s from our school.

...read more.

Middle

image00.png

image06.png

I will now calculate my stratified sample for 140 results.

Remembering my populations of year 8 and year 12:

Year 8:

Female        -         53

Male                 -        58

Overall        -        111

Year 12 population:

Female        -        65

Male                -        50

Overall        -        115

Total population:        226

Firstly, for a stratified sample I will need to calculate haw many year 8s and year 12s I will need.

Year 8

image09.png

image04.png

Year 12

image10.png

image11.png

From my calculations I have determined that I will require:

69 Year 8 and 71 Year 12

I now need to calculate how many of each gender group I will have need in order to obtain a representative stratified sample

Not forgetting the gender ratio of year 8:         58 males to 53 females

Year 8 Males:         58 / 111 x 69 = 36

Year 8 Females:         53 / 111 x 69 = 33

Or the gender ratio of year 12:                         50 males to 65 females

Year 12 Males:        50 / 115 x 71 = 31

Year 12 Females:        65 / 115 x 71 = 40

image12.png

image13.png

Both year groups add up to 69 and 71, so my sample of the population amounts to 140 people. I have now determined that this is a representative stratified sample and I will proceed to use at least 140 people in my sample for my investigation.

Many factors need to be considered when choosing a suitable area of estimation to investigate. I believe that the main one is that of time consumption, how long these results will take to collect.

...read more.

Conclusion

It is possible that in my second hypothesis that the gender distribution of each estimating group could have manipulated or distorted the results. By investigating the effect of gender on estimation,  I will be investigating a new hypothesis, and simultaneously adding to my second.

My third Hypothesis is that year 12 girls will be better estimators than year 12 boys. To investigate this I will display the percentage error of each gender of each year group in a scatter graph

image07.png

.

image08.png

With the exception of 3 out lying results for females in year 12, they show a great correlation of estimation of angle to estimation of length. Their mean percentage errors are:

        Length:     12.59

        Angle:         4.16

And the males are:

        Length        13.94

Angle                4.28

        On both accounts the girls are shown to be better estimators. This would suggest to me that girls are better estimators and that my third hypothesis h\s been proven.

My conclusion is that there is no correlation between estimation of length and angle. That age has a direct correlation with estimation, and that gender has a correlation to estimation in that girls are better estimators than boys.

If I were to do this experiment again…

Do r squared correlation thingfor 1,2,3

Do more Calculations for 2 and 3

Do better conclusion and compare to section A

Do recommendations for future experiment

Change wording

...read more.

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

  1. For our GCSE statistics coursework, we were given the question Where are houses most ...

    Xi: 570,000 + (1.5*190,000) = 855,000. This means anything over 855,000 in my data set would be classed as an outlier. Again there are no pieces of my data that are outside this boundary. To conclude this section there are no outliers in my south house prices data set.

  2. Statistics coursework

    To avoid bias I will be using a stratified sampling technique. The proportion of male and female drivers will also be evenly represented. I have taken into account that there are more female drivers to male drivers. The ration of females to males is 124:116 so: - 240 / 60 = 4 (to get a sample size of 60)

  1. Maths T-totals coursework

    I will now try and find a formula. The difference between each t-total is 5 so my equation will again start with 5, I will then multiply 5 with 2 because it is the first t-number. Also because I am using a 9x9 grid I know that the equation will end with 63.

  2. Maths Statistics Coursework

    However, to understand how accurate the estimates are from the standard deviation, we need to look at the mean. The mean uses all of the data, finding the sum of all the data points and then dividing by the number of data points, meaning that a mean closest to zero will be the most accurate.

  1. Maths Coursework

    this appears to be because the album had low chart ratings and the correlation shows that albums with higher chart positions have higher sales. Table 3 Showing average chart position. Blood Sugar Sex Magik 20.1 One Hot Minute 3 Califorication 2.545454545 By the Way 1.363636364 Stadium Arcardium 1 Table 1

  2. GCSE STATISTICS/Data Handling Coursework 2008

    As there are clearly no great outliers I did not need to calculate the boundaries.

  1. Investigation into 100m times and long jump distances

    right quadrant Year 7 16 7 4 12 Year 9 12 5 7 13 Year 11 14 2 4 13 As the majority of the points are in the top left and bottom right quadrants, it is likely that all three graphs have negative correlation.

  2. Statistical Experiment Plan to investigate the ability to estimate 30 and 60 seconds.

    be more accurately measure by using milliseconds also the gender of my data is discreet as it is either male or female. To make sure that all my data in my population is trustworthy I will have a criterion to avoid bias.

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