• 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 &amp; 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

# 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. ## Statistics coursework Edexcell

Using the values above I have constructed some box and whisker diagrams. Males Graph 7 Females Graph 8 The diagrams above show that in each gender group that certain year groups are at the period of adulthood where they are growing.

2. ## Mayfield High Statistics Coursework

I will group some of my frequencies as this will help me later when I will create histograms from my data. Boys Height (m) Frequency 1.20?h<1.50 4 1.50?h<1.60 17 1.60?h<1.70 14 1.70?h<1.80 12 1.80?h<2.00 3 About 90% of the boys in my sample have a height of 1.5 to 1.8

1. ## Statistics Coursework

The main difference between the results is that there is a much bigger inter-quartile range in Year 11 than in Year 7. These results do not really support my hypothesis, as I expected the two sets of results to be quite different, with my hypothesis being that "Year 7's have higher total KS2 results than Year 11's".

2. ## Mayfield High School Maths coursework

1.6 year 9 1.7 1.55 year 10 1.8 1.55 year 11 1.65 1.62 Mode Weight boys girls year 7 45 45 year 8 42 52 year 9 45 52 year 10 72 45 year 11 54 48 The first graph, showing the mode height, proves that the most consistent amount of boys throughout the years (with the same height)

1. ## The aim of the statistics coursework is to compare and contrast 2 sets of ...

Colour Tally Cumulative Frequency Blue ///// ///// ///// //// 19 Brown ///// /// 8 Green // 2 TOTAL 29 The reason why the total only adds up to 29 is because where I have sampled I have picked out a person who has not filled in the eye colour information.

2. ## I would like to know whether there is a link between ability in Maths ...

Analysis (2) To ascertain whether the link between ability in Maths and in Science varies with each year group, I need to identify the strength of the relationship between these subjects in each of the year groups. Looking back through my previous analysis, I therefore feel that the most efficient method to

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