• 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
• Level: GCSE
• Subject: Maths
• Word count: 1731

Maths mayfair

Extracts from this document...

Introduction

I have been presented with data of secondary nature, about a school named Mayfield high school. This is table shows the number of pupils.

Year group

Number of boys

Number of girls

Total

7

151

131

282

8

145

125

270

9

118

143

261

10

106

94

200

11

84

86

170

There 1183 students in this high school, and they have carried out several surveys, and put information on every single students into their own record on a database. The database contains several kinds of information, for example, name, age, year group, IQ, weight, height, eye colour, hair colour, test results, etc.

The variations I have chosen to follow for my coursework are:

1. The relationship between height and weight

Keeping in mind that there are 1183 students, I cannot provide these enquiries onto each pupil. I must take a suitable sample. Sampling helps to pick and choose some data needed to gain a result. Here are the methods available:

 Year group Total number of students Number students to be taken 7 282 282/1183 x 100 = 24 8 270 270/1183 x 100 = 23 9 261 261/1183 x 100 = 22 10 200 200/1183 x 100 = 17 11 170 170/1183 x 100 = 14 Total students = 100

The students taken must be taken at random.

SAMPLE SIZE:

Taking a fixed percentage out of the 1183 students uses a sample size.

Middle

Aim –  to find and comment on the proper relationship between height and weight. Also, answer questions such as, is there a line of best fit? What is the correlation of the graph? Is there a clear relationship and how is it proved?

Hypothesis – for this enquiry I predict that the taller the height, the heavier the weight. I will test this throughout enquiry one. I believe this hypothesis because according to science if you are taller, so to will your bones. Therefore if your bones are bigger, then in the rules of science they must be heavier.

Conclusion

From my results the mode numbers for height are 1.72m, 1.65m, 1.62m and 1.60m.  The mode for weight is 50 kg.

From my results the median height is:

192.52 + 1

= 96.76th position

2

Which is 1.70m

From my results the median weight is:

6008 + 1

= 3004.5th position

2

Which is 85kg

From my results the height average is:

192.52

Mean =

118

= 1.632m

The average weight is:

6008

Mean =

118

= 50.92kg

Therefore we learn the average person is 50.92kg in weight, and 1.632m in height.

I will also work out the mean of the deviations,

The mean deviation for height is:

1501.6

Mean deviation =

118

= 12.73cm

The mean deviation for weight is:

1088.720

Mean deviation =

118

= 9.226kg

Using the equation on my graph, I can work what height or weight a person will be based on the line of best fit.

If a person weighs 50kg,

y= 0.0073 x 50 + 1.2482      =1.6078m is their height (from the line of best fit)

If a person weighs 40kg,

y= 0.0073 x 40 + 1.2482      =1.5402m is their height (from the line of best fit)

Therefore from all of these calculations I have proven my hypothesis to be correct. This is because I have shown as the weight increases so to does the height.

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. Investigation between the height and the weight of a sample of students.

I chose 30 as it divides exactly into 360 which is how many degrees there are in a circle therefore it will make it easier to draw a pie chart from the data I will have collected. Now that I have decided to take 30, I will first take 30

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

3 3 9 Male 3 4 9 Male 3 5 9 Male 3 4 9 Male 3 3 9 Male 3 5 9 Male 3 3 9 Male 3 3 9 Male 3 3 9 Male 3 5 9 Male 3 3 9 Male 3 3 9 Male 3 3

1. Mayfield maths courswork - is there a link between abilty in maths and abilty ...

However, if we study the scatter diagram further, we can see that this is not all it suggests! While both male and female students who scored high in Maths were more than likely to have scored high in Science, two further statements can also be made: � On average, both

2. I will be testing the following hypothesis in my pilot study: ...

greater than the mean height for the boys; this is because puberty must be taking place in many girls as a result the growth rate being much quicker than usual. The box and whisker plot shows that the suggestion that I had made is correct.

1. Mayfield Maths Coursework

I would expect the data to be normally distributed as the IQ for the country as a whole is normally distributed. I will also work out the average IQ scores at each average key stage 2 level as this will help me to see which group has the lower IQ for each level.

2. Data Handling Maths Coursework

I think that this hypothesis will apply to all students, no matter their age or year group. 4. The height and weight of all pupils follow normal distribution I think that all heights and weights are going to be normally distributed. The normal distribution curve- a bell-shaped curve- (figure 1)

1. Investigation in to types of criminal offences in a sample of Jamaicans in Portmore.

Hence, the findings should be accepted with caution. > It was very difficulty to find persons who were victims of crime. > Many persons only consider serious offences such as shootings as crime. > Many persons could not spare the time to complete the questionnaires. > It was difficult to condense the data into a report of one thousand words.

2. My hypothesis is that the Maths and Science results will be related because I ...

M < 90 1 85 1 � 85 85 90? M <100 0 95 0 � 95 0 Year 8 Science Results Marks Tally Frequency Middle Value Working Total 30? M < 40 0 35 0 � 35 0 40? M < 50 4 45 4 � 45 180 50?

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