• 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
• Level: GCSE
• Subject: Maths
• Word count: 1608

Statistics investigation of Mayfield High School

Extracts from this document...

Introduction

Contents:

Introduction

First hypothesis with conclusion

Graphs for 1st hypothesis

Second hypothesis with conclusion

Graphs for 2nd hypothesis

Sample

Introduction:

I will be analysing data from Mayfield High School, which is a fictional school but including real data. I will choose a line of enquiry and I will make two hypotheses. I will get samples of students by using random sampling, and from this information I will construct graphs and diagrams. After analysing the data I will be able to prove or disprove my hypotheses.

Plan:

The line of enquiry is:

The relationship between height and weight.

There are two hypotheses:-

1. There is a positive correlation between the height and the weight of boys and girls in secondary school
2. Boys are taller than girls in all years

I will be using secondary data as it is quick to access and use. It will be easy to use as I will not have to collect the data myself.

Analysis:

For my first hypothesis I will choose a random sample of 60 students; 30 boys and 30 girls. From this data I will construct three scatter graphs. One of these scatter graphs will compare the height and weight of boys, the other comparing the height and weight of girls, and the third graph, will compare the height and weight of all students in the sample. On

Middle

120-129

0

130-139

0

140-149

4

150-159

13

160-169

10

170-179

2

180-189

1

Total:30

In order to find the mean height of both boys and girls, I drew out another table in which I calculated the midpoint values. I ignored heights between 100cm and 129cm as there are not any students in that height range as you can see from the results of the tally charts.

BOYS:

 Height in cm Frequency (f) Midpoint value (x) fx 130-139 1 134.5 134.5 140-149 1 144.5 144.5 150-159 8 154.5 1236 160-169 8 164.5 1316 170-179 9 174.5 1570.5 180-189 3 184.5 553.5 Total:30 Total:4955

Mean=Total number / Total number of students

=4955/30

=165.16

GIRLS:

Conclusion

In conclusion my first hypothesis was correct. I can tell from the scatter graphs constructed for both boys and girls that there is a positive correlation between the height and weight of boys and girls. This means that as a teenager gets taller, their weight also increases. However in both cases, boys and girls, the correlation was positive but not very high. The reason for this may be that the results are only from 30 boys and 30 girls of the database. To obtain more reliable results, I would have to use a larger sample which would be more accurate.

My second hypothesis was also correct, as the mean and median height of the boys were greater than the girls and the box and whisker diagram also showed that boys are taller than girls.

When planning my investigation I decided to use 30 boys and 30 girls’ information to use for my hypotheses. I used random sampling for both hypotheses. To do the random sampling I used my calculator and the ‘Ran’ button which gave me a number between 0 and 1 and using that number, I multiplied it by the number of students in the year group and this gave me a random number. I used this strategy for both boys and girls. The reason I chose random sample was so that all the numbers would have had a fair chance of being picked and the sample would not have been biased.

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

160?h<170 IIIIIIII 8 165 1320 170?h<180 I 1 175 175 180?h<190 III 3 185 555 190?h<200 0 195 0 TOTAL 20 3250 Mean= 3250 Divided by 20 = 162.5 = 163 cm = 1.63m GIRLS Height (cm) Tally Frequency Mid-point Fx 130?h<140 0 135 0 140?h<150 IIIII 5 145 725

2. Mayfield High Statistics Coursework

Girls Weight (kg) Frequency 20?w<40 4 40?w<50 21 50?w<60 17 60?w<70 6 70?w<80 2 Mean and standard deviation of data I will now find the mean of the frequency that I have found and this will be quick, efficient and reliable and will help me gain evidence on weather boys are taller and weigh more in comparison to girls.

1. Edexcel GCSE Statistics Coursework

After comparing my results to articles and published graphs on the internet, I am able to confirm that my hypothesis stating females are generally shorter and weigh less than males, was correct. Hypothesis 2: After calculating the frequency density for the male and female heights and weights, I created four

2. Statistics coursework - hypotheses based on students statistics

89 1.67 70 11 Perlains Carl 16 1 Male 83 1.76 62 11 Smithers David 16 2 Male 101 1.78 37 11 Ali Amera 15 0 Female 90 1.62 56 11 Biddle Vicky 16 0 Female 104 1.56 50 11 Chen Sabrina 16 4 Female 117 1.61 54 11 Fillstin

1. Maths Statistics Coursework: Mayfield High

An easy way of performing this task is by using the 'Random' button on my calculator. To retrieve 30 random numbers I would have to enter the population (1183) and then press the 'SHIFT' button. Then I would have to press the 'Ran#' button.

2. Mayfield High School Project

This doesn't exactly undermine my hypothesis however as the modal class only means the group which had the highest frequency, not which group has a greater height. On the other hand the average height supports my prediction as the male pupils average height is 5.4 cm above the female pupils.

1. mayfeild statistics

I will use stratification to decide upon the no. of boys and girls. Boys: Boys in yr11 x sample size = 83 x 60 = 29.6 � 30 Students in yr11 168 Girls: Girls in yr11 x sample size = 85 x 60 = 30.4 � 30 Students in yr11 168 So I will choose 30 girls and 30 boys from the secondary data I have been given.

2. Introduction to arodynamics - Investigation into the design features of aircraft.

for just 32 minutes to off load tanks and helicopters whilst its engines were kept running. Figure 16. C-5 Galaxy As this aircraft was developed and used during the cold war, detailed technical information is hard to find, I have been able to obtain some scant information whilst making further

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