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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

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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:

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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.

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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.

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