• 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: 2011

# Statistics coursework part 1

Extracts from this document...

Introduction

Statistics coursework part 2

Hypothesis 1:

‘My hypothesis 1 is that boys are generally heavier than girls’

Hypothesis 2:

‘My hypothesis 2 is that boys are usually more varied in weight than girls’

Method:

To begin I went on maths intranet and saved a new file named Mayfield School. Following this I opened it in a excel document and began to order.

Using a stratified sample of 30 % I got my results by using a random sample, I took 30 % of each year and compiled it into a new column named Males/Females. Then I copied the first column containing the Males statistics and using the autograph program I pasted it into the grouped data menu. One the data was available at the bottom of the screen I was able to use it to get the histograms, box plots and polygons I needed.

Using the data set named Males, I was then able to draw a histogram, and then repeat for the females. Once the histograms have been achieved you are then able to make polygons which are needed for this investigation.

Middle

 7 Abbas Masooma Male

The pupil ‘Masooma Abbas’ also is a error in weight because they have no weight.

Anomalies:

 7 Green Emily Female 140

This is the pupils who has an anomalies due to her weight because it is unlikely that a year 7 pupil will weigh 140kg

Results and observations:

Stem and Leaf Diagram showing the weights of 173 females:

10:

20:

30: 3 4 5 5 5 5 6 6 8 8 8 8 9

40: 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9

50: 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9

60: 0 0 0 0 1 1 2 2 3 3 4 5 5 5 5 5 6 6 7

70: 0 2 2 4

80:

90:

Stem and leaf diagram showing the weight of 173 females with modified intervals.

20:

30: 3 4 5 5 5 5 6 6 8 8 8 8 9

40: 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 3 3

44: 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3 3

48: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3

52: 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 66 7 7 7

60: 0 0 0 0 0 01 1 1 2 2 3 3 4 5 5 5 5 5

70: 0 2 2 4

80:

In order to get better results I have had to modify the group boundaries on my first stem and leaf diagram so that I could get more accurate results and graph.

When looking at a stem and leaf diagram, you are not able to get a good indication or extra results however you can see the group boundaries used for your histogram and a general idea of how the histogram will be set out.

This histogram shows the weights of approximately 173 girls from years 7-11 taken from Mayfield school.

This histogram shows

A results box for 173 girls.

Raw Data Statistics:

Number in sample, n:        173

Mean, x:                        49.9538

Standard Deviation, x:        8.19828

Range, x:                        41

Lower Quartile:                45

Median:                        49

Upper Quartile:                54.5

Semi I.Q. Range:                                                                4.75

Conclusion

This box plot shows that the males have a larger range in data compared to the males, although the females have a smaller median.

The medium contained on this graph strongly shows that there is a very small difference between them, the females have a medium of 49 whereas the males have a medium of 50.

There is also a substantial difference between the quartiles; the

Males

Lower Quartile:                45

Upper Quartile:                60

Females

Lower Quartile:                45

Upper Quartile:                                                                        54.5

As we can see, the males have a large upper quartile than the females.

Conclusion:

Now that I have studied Hypothesis 1 I can say that I believe this statement, this is evident in my box and whisker diagrams because the medium is larger meaning that the average weight is generally higher. This is also evident in the histogram because you can see that the bars are generally closer together and not as spread out along the x-axis.

I can also say that my Hypothesis 2 is correct as well, this is evident when looking at the histograms because unlike the Females, the data is generally situated in the centre of the graph whereas the males is more widely spread out.

Evaluation:

If I was going to repeat this investigation again I would change

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

47 8 Burton Prudence 1.59 52 8 Campbell Julia 1.41 30 8 Kudray Rebecca 1.54 52 8 Water Rebecca 1.55 57 9 Atkins Patience 1.57 40 9 Bagnall veronica 1.49 37 9 Dixon Mary 1.49 52 9 Kelsey Sannita 1.62 46 9 Mosler Samantha 1.58 36 10 Bhatti Hannah 1.72

2. ## Edexcel GCSE Statistics Coursework

I will use categorical qualitative data to show the gender of the students, as 'female/male' is non-numerical. I will use continuous qualitative data for height and weight because they can both be measured and can be any value within a given range.

1. ## GCSE Maths Statistics Coursework

100 13 21 100 < x ? 110 13 34 110 < x ? 120 4 38 120 < x ? 130 1 39 Year 11 IQ Frequency Cumulative Frequency 70 < x ? 80 1 1 80 < x ? 90 7 8 90 < x ?

2. ## Mayfield High Statistics Coursework

5 19 106 5 year 8 boys 16 117 6 87 101 4 114 93 4 year 8 girls 62 92 5 9 102 3 year 9 boys 109 97 4 112 92 4 year 9 girls 67 107 4 102 106 4 70 78 3 year 10 boys 73

1. ## Maths Coursework. Statistics

The data that I will use is called 'secondary' as I did not go and find it out myself. Plan: I will now find the highest and lowest life expectancy from my data that I chose by using random sampling.

2. ## GCSE maths statistics coursework

Girls boys No. height weight No. height Weight 38 1.55 50 217 1.61 45 71 1.63 45 28 1.45 40 231 1.64 44 277 1.75 52 160 1.46 45 416 1.51 59 488 1.54 47 756 1.81 72 1163 1.55 50 470 1.55 40 460 1.57 45 504 1.48 40

1. ## Mayfield Maths Coursework

Systematic Sampling This is a method which involves a system which involves regularity. For example you could take every tenth pupil in the list. This type of sampling is unbiased and it does not need the data to be in any sort of particular order.

2. ## maths statistics coursework

This type of sampling will not be as useful for our investigation, as we want to select the same amount of pupils from each year group, and an even number of male and females. This will then make my investigation fair.

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