• 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
  • Level: GCSE
  • Subject: Maths
  • Word count: 1613

Maths GCSE Handling Data Coursework Mayfield High School - Year 10 & 11

Extracts from this document...

Introduction

Maths GCSE Handling Data Coursework Mayfield High School - Year 10 & 11 For my statistics coursework I am going to investigate the relationship between the height and the weight. I will use a wide range of mathematical techniques to present my data and findings in different ways. I will also focus to test my hypothesis which is: As the height increases the weight increases and also the relationship between these the height and the weight will become stronger as they get older. I also think that there will be a difference in this between the boys and the girls. The table below shows the number of boys and girls there are in each year group: Year Group Number Of Boys Number Of Girls Total 10 106 94 200 11 84 86 170 Total 190 180 370 For my project I will take a random sample of 30 students. I will use the random sample button on a calculator to do this. Year 10 No of boys: (106/370) x 30 = 8.5946 � 9 No of girls: (94/370) x 30 = 7.6216 � 8 Year 11 No of boys: (84/370) x 30 = 6.8108 � 7 No of girls: (86/370) ...read more.

Middle

= 18.98045 55.93333 - 18.98045 = 36.95288 55.93333 + 18.98045 = 74.91378 So anything less than 36.95288 and more than 74.91378 is an outlier. Hence, there is no outlier in my sample. Tally chart for the height Tally chart for the weight Height is a continuous data, so you Weight is also a continuous need to use class intervals. data; the class interval I've used I've used a class interval of 0.05 m. is 5kg Height (cm) Tally Frequency 1.50?H<1.55 I 1 1.55?H<1.60 IIII I 6 1.60?H<1.65 IIII II 7 1.65?H<1.70 IIII 4 1.70?H<1.75 IIII 5 1.75?H<1.80 III 3 1.80?H<1.85 IIII 4 Weight Tally Frequency 35?W<40 II 2 40?W<45 I 1 45?W<50 IIII 4 50?W<55 IIII I 6 55?W<60 IIII I 6 60?W<65 IIII I 6 65?W<70 II 2 70?W<75 III 3 The tally chart and the table of my sample are not very useful to compare my results. So you need to present them in different ways to compare the data. I've recorded my results on a histogram, cumulative frequency diagram and a scatter graph which will be helpful to compare my results and test my hypotheses. Histogram of heights Histogram of weights Cumulative frequency of height Cumulative frequency of weight The equation for my line of best fit is y=mx ...read more.

Conclusion

The mean for the height of boys sample is: (1.63+1.77+1.32+1.62+1.60+1.60+1.65+1.68+1.60+1.80+1.75+1.72+1.81+1.82+1.68+1.54+1.50+1.62+1.62+1.73+1.52+1.84+1.75+1.61+1.80+1.57+1.52+1.78+1.63+1.80) 30 Mean = 1.662667 Standard deviation = 0.11948 (2 x 0.11948) = 0.23896 1.662667 - 0.23896 = 1.429707 1.662667 + 0.23896 = 1.901627 Thus, anything less than 1.429707 and anything more than 1.901627 is an outlier. In my sample there is only one outlier. I am going to leave this as it is because sometimes you might have someone shorter and he is not that short he is just approximately 0.10m shorter than the outlier range. The mean for the weight of boys sample is: (40+57+45+52+38+47+54+59+51+72+68+54+54+57+72+76+35+72+50+50+38+78+57+56+63+54+45+37+50+68) 30 Mean = 54.96667 Standard Deviation = 11.98126 (2 x 11.98126) = 23.96252 54.96667 - 23.96252 = 31.00415 54.96667 + 23.96252 = 78.92919 Anything less than 31.00415 and more than 78.92919 is an outlier. There is no outlier The mean for the To compare my correlation I am going to use product momentum correlation coefficient. This is the accurate way to compare the correlation. It uses the mean of each set of data and looks at the distance away from the mean of each point. The Formula is Where and are the means of the x and y values respectively ?? ?? ?? ?? 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 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. mayfield high statistics coursework

    on whether boys are taller and weigh more in comparison to girls. Mean of Girls and Boys Weight BOYS Weight (kg) Tally Frequency (f) Mid-point (x) fx 30?w<40 IIII 4 35 140 40?w<50 IIIIIII 7 45 315 50?w<60 IIIIII 6 55 330 60?w<70 III 3 65 195 70?w<80 0 75

  2. Edexcel GCSE Statistics Coursework

    This may be attributable to not involving external factors which may have influenced the results, and overall the correlation, of these two scatter graphs, for example the dietary habits or quantity of exercise that the students do. This will, undoubtedly, affect the students' weight regardless of their height and/or gender

  1. GCSE Maths Statistics Coursework

    investigating it, so therefore I believe this section wasn't a fair test (as I never got a range of students to prove this).

  2. Mayfield High School data handling Coursework

    I am going to pick approximately 30 boys and 30 girls. However I have chosen 31 of each so it will help me get a rational number for the median. If I pick 15 for each it will be too little so it is would have been meaningless and inaccurate,

  1. Mayfield High School Maths coursework

    In both graphs, both lines follow a very similar trend however the boys increase at a greater rate than the girls. We can conclude that, from looking at the mean, which the boys throughout the 5 school years increase in both height and weight in a more rapid fashion than the girls.

  2. Mayfield High Coursework

    Hypothesis 2: Are boys heavier than girls? Before investigation: I think that boys will tend to be heavier than girls because of their muscle mass. Also, usually the taller you are, the heavier you are, and I have already predicted that boys are taller than girls.

  1. Maths Data Handling

    1, 2, 2, 5, 5, 6, 6, 7, 7, 8, 9 0, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 5, 7, 8, 9 50 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 5, 7, 7, 9 0, 0, 0, 1, 3, 4, 5, 6 60

  2. GCSE maths statistics coursework

    was larger for boys than that of the girls as both went up to 1.9m although the frequency density between 1.7m to 1.9m was larger than the frequency density of the girls. I will now do frequency polygons of the girls and boys weights.

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