• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

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

...read more.

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:

...read more.

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.

...read more.

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

    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. Edexcel GCSE Statistics Coursework

    histograms; the advantage of a histogram is that it shows the shape of the distribution for a large set of data and so was therefore able to show me the shape of the distributions for male and female heights and weights, however, when using histograms it is more difficult to

  1. Conduct an investigation comparing height and weight from pupils in Mayfield School.

    The average deviation from the mean is 8.6. 95% of the results lie within two standard deviations of the mean. So 2 � standard deviation = 8.6 � 2 = 17.2 Mean - (2 � standard deviation) = 154 - 17.2 = 136.8 Mean + (2 � standard deviation)

  2. Mayfield High Statistics Coursework

    shows me that nearly 75% of the female students are between 1.50 to 1.70 metres. It also shows me that the students are slightly tall for their age as there is a positive skew to the frequency. This could be because of the sample I have taken or it could be for the whole school.

  1. Statistics coursework - hypotheses based on students statistics

    My second hypothesis was that there is better correlation between height and weight in year 7males than there is in year 11 males. For this I will plot a scatter graph for each of the years and then see which one has the strongest correlation.

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

    5 5 7 Male 4 3 8 Female 4 4 8 Female 5 5 9 Female 5 5 9 Female 4 4 9 Male 3 3 7 Female 4 5 7 Female 4 5 7 Male 3 4 9 Female 5 4 8 Male 5 5 8 Male 4 4

  1. we can see if there is any correlation between a person's height and weight ...

    The nearer the standard deviation is to 0 the more good and reliable the mean is. Standard deviation works out how much either side of the mean can be accepted to be as the mean. For example say the mean was 5 and the standard deviation was 0.5 the mean

  2. Maths Coursework. Statistics

    For my second hypothesis I have done two different graphs one which is for the males and females average age and the second one is for the GDP per capita (money). These graphs show us that mostly females live longer than males in Asia .it also links in with the

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