Data Handling - page 1
Keywords: Data Handling
By RyanJK on 07/11/2006 17:40:52
Level: GCSE Key Stage 4 (Years 10-11)
Page Number: 1 of 12 pages: 1 2 3 4 5 6 7 8 9 10 11 12
Mayfield High School
Introduction.
This investigation is based upon the students of Mayfield High School, a fictitious school although the data presented is based on a real school. The total number of students in the school is 1183.
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
TOTAL 604 579 1183
The Line of Enquiry.
The line of enquiry I will choose will be the relationship between height and weight; I will use all of the students in school and begin by taking a random sample of 30 boys and 30 girls to see all the possible relationships. From the total number of students, I will choose 60 altogether. I will then analyse the sets of data I have in order to investigate the relationship between them.
Hypothesis.
For my hypothesis, I predict that in general, the taller a person is, the more they will weigh.
How I Will Get My Sample
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
TOTAL 604 579 1183
I will use this information to find the Stratified sample of 30 boys and 30 girls, so a total of 60 pupils. I will use 60 pupils again as it will provide more accurate results. I will divide the amount of boys and girls in each year by the total amount of pupils (1183) and then multiply that number by the amount of random sampled pupils I will take (60), round it to the nearest whole number and then divide by 2 to get a even amount of boys and girls for each year.
Total Total people In School Total / Total
In School x60
282 1183 0.238377 14.30262
270 1183 0.228233 13.694
261 1183 0.220626 13.23753
200 1183 0.169062 10.1437
170 1183 0.143702 8.622147
By taking a stratified sample I can be as sure as possible that my sample is representative of the whole school. As far as possible, my sample is free from bias caused by gender or age divisions.
Year group Number of boys Number of girls Total
7 7 7 14
8 7 7 14
9 7 7 14
10 5 5 10
11 4 4 8
TOTAL 30 30 60
I will now use the SHIFT RAN# button on my calculator to pick the right amount of boys and girls in each year to give the following results.
GIRLS BOYS
Year Height (m) Weight (kg) Year Height (m) Weight (kg)
7 1.61 47 7 1.47 41
7 1.5 45 7 1.64 50
7 1.72 53 7 1.36 45
7 1.46 40 7 1.71 49
7 1.48 47 7 1.65 64
7 1.62 65 7 1.51 59
7 1.43 38 7 1.6 43
8 1.56 43 8 1.62 47
8 1.6 50 8 1.51 39
8 1.59 52 8 1.7 49
8 1.62 51 8 1.56 59
8 1.5 45 8 1.52 45
8 1.67 51 8 1.66 43
8 1.65 72 8 1.65 51
9 1.55 52 9 1.55 68
9 1.45 51 9 1.6 38
9 1.64 40 9 1.53 32
9 1.53 40 9 1.7 47
9 1.58 55 9 1.56 60
9 1.7 48 9 1.69 65
9 1.4 41 9 1.64 35
10 1.52 52 10 1.56 53
10 1.73 48 10 1.71 44
10 1.63 50 10 1.63 44
10 1.78 52 10 1.83 75
10 1.7 55 10 1.74 56
11 1.73 42 11 1.88 75
11 1.9 80 11 1.79 72
11 1.89 64 11 1.62 54
11 21 86 11 1.92 45
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