French Holidays
4 star(s)
Box Coursework
Extracts from this document...
Introduction
Mayfield High
This investigation is based on Mayfield high a factious school. The data presented is based on a real school. In my investigation I will only be focusing on year 7 and year 9 students.
Year Group | Number of Boys | Number of Girls | Total |
7 | 153 | 133 | 286 |
9 | 120 | 145 | 265 |
TOTAL | 273 | 278 | 551 |
To proceed to the next step of data handling I will now take a random sample of about 30 year 9 boys, 30 year 9 girls, 30 year 7 boys and 30 year 7 girls, so I should have a total number of students of approximately 120. I need to take this sample because the Mayfield data in its original state is far too big to handle. The way I will take my sample is to role a dice this will determine which student I will start on then I will take a systematic approach by choosing every 5th student.
My hypotheses are:
1. Boys are taller than girls
2. The taller a person is the heavier they are.
To investigate these hypotheses I will need to focus on the height and weight of the students that I have collected in my random sample. The sample that I collected is presented on the next page.
Middle
2
52
Girls | |||
Weight (kg) | Tally | Frequency | Cumulative Frequency |
30≤w<40 | lllll l | 6 | 6 |
40≤w<50 | lllll lllll lllll lllll lll | 23 | 29 |
50≤w<60 | lllll lllll lllll lll | 18 | 47 |
60≤w<70 | llll | 4 | 53 |
70≤w<80 | l | 1 | 54 |
Now that I have presented these results in a cumulative frequency table I will now record these results in different types of graphs and diagrams. By doing this I will discover any relationship between boys and girls heights. I will begin by using bar charts to compare the boys and girls heights.
The evidence from these bar charts suggests that girls have a higher height than boys but boy’s height is more spread. I know that if I investigate further by using mean, median, mode and range I will have clear evidence of the boys and girls heights.
Firstly I will investigate the boys and girls mean height I will do this by using my frequency tables.
Boys | ||||
Height (cm) | Tally | Frequency | Mid point | fx |
130≤h<140 | l | 1 | 135 | 135 |
140≤h<150 | lllll l | 6 | 145 | 870 |
150≤h<160 | lllll lllll lllll lllll lll | 23 | 155 | 3565 |
160≤h<170 | lllll lllll llll | 14 | 165 | 2310 |
170≤h<180 | lllll lll | 8 | 175 | 1400 |
180≤h<190 | l | 1 | 185 | 185 |
190≤h<200 | 0 | 195 | 0 | |
Conclusion
Height | Mean | Mode | Median | Range |
Boys | 161cm | 150≤h<160 | 155cm | 73cm |
Girls | 159cm | 160≤h<170 | 159cm | 50cm |
The boys had a higher mean and also a higher range. The girl’s mode was higher than the boys and this means that more girls are taller than boys so my first hypothesis is incorrect. This investigation has shown me the girls in Mayfield high are generally taller than boys. I will now move on to investigate my second hypothesis.
To investigate my second hypothesis I will have to use scatter graphs. If I have positive correlation on my scatter graph it will mean that the hypothesis is correct. I would expect to see positive correlation and the best way to investigate this would be to use scatter graphs.
The results from the scatter graph show that there is a positive correlation. This means that generally the taller someone is the heavier they are. I done separate scatter graph for boys and girls this was to show that it was anything thing to do with what a gender a person is. The two graphs both male and female graphs showed positive correlation.
This student written piece of work is one of many that can be found in our GCSE Miscellaneous section.
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