Sampling:
I have decided to select 30 females and 30 males at random from the Mayfield School community. I am assuming that there are roughly equal numbers of females and males Ks3 and Key stage 4.
The school has a total of 399 Females in Ks3 and 414 Boys. In Ks4 there are 86 females and in 84 Males. In total there are 485 Females and 498 males. I used a year group listing and numbered the students from 1 to the quantity they were. I used the Rnd button to generate sets of random numbers. For example in the Yr 7 Females to produce my the first random number was 16. I therefore included the student numbered 16 in my sample. I simply continued like this till I had 30 males and 30 females.
Stratified Sampling:
I am going to use stratified random sampling before random sampling the data because I feel that if I did simple random sampling I would not be able to work out how much data I need in proportion with how much there is in the group already. With stratified sampling I can get more accurate results and it can also show tendencies between boys and girls. With random sampling there will be no bias because it’s random. For the Stratified sampling, I will use the table below:
Year 7 boys = 151 * 30 = 8 (7.5rounded to 8)
604
Year 8 boys = 145 * 30 = 7
604
Year 9 boys = 118 * 30 = 6 (5.8 rounded to 6)
604
Year 10 boys = 106 * 30 = 5
604
Year 11 boys = 84 * 30 = 4
604
Year 7 girls = 131* 30 = 7 (6.78 rounded to 7)
579
Year 8 girls = 125 * 30 = 6
579
Year 9 girls = 143 * 30 = 7
579
Year 10 girls = 94 * 30 = 5 (4.8 rounded to 5)
579
Year 11 girls = 86 * 30 = 5
579
Boy’s height
This data show the frequency of boy’s heights clearly in a frequency table along with the cumulative frequency. From this data, you can see that the most common height intervals are 150 < H < 160cm which contains 10 boy’s. The least common height intervals is 130 < H < 140 which contains no boys.
Boy’s Weight
This data shows the frequency table for boys’ weight along with the cumulative frequency. From data, you can see that the most common weight interval is 50 < W < 60 which contains 9 boys. The least common weight interval is 80 < W < 90 which contains one boy.
Girl’s Height
This data shows me the frequency table for the Girls’ height along with the cumulative frequency. Looking at this data, you can see that the most common height intervals is 150 < H < 160cm which contains 14 girls. The least common weight interval is 130 < H < 140 which contains 1 girl.
Girl’s Weight
This data show the frequency for girl’s weight along with the cumulative frequency. From this data, you can see that the most common weight interval is 50 < W <60kg which contains 15 girls. The least weight interval is 70 < W <80kg which contains 1 girl.
This data shows me the tally chart for the boys’ heights. From this data, you can that the most common weight interval is 150 < h < 160cm which contains 10 boys. The least common weight interval is 130 < h < 140cm which contains no boys at all.
This data shows me the tally chart for the boys’ weight. From this data, you can that the most common weight interval is 50 < w < 60kg which contains 14 boys. The two least common weight interval is 80 < w < 90kg which contains 1boy.
This data shows me the frequency table for the Girls’ height. From this data, you can see that the most common height interval is 150 < h < 160cm which contains 14 girls. The least common weight interval is 130 < h < 140cm which contains 1 girls.
This data shows me the frequency table for Girls’ weight. From this data, you can see that the most common weight interval is 50 < w < 60kg which contains 15 girls. The least common weight interval is 70 < w < 80kg which contains 1 girls.
This stem and leaf diagram is another clear and easy way to present the data showing how tall girls are.
This stem and leaf diagram is another clear and easy way to present the data showing how much girls weigh.
These histograms above show the data between the boys’ height and the boys’ weight. They indicate a frequency for the height and weight; however the frequency density is not the indicated. Also the most common height for the boys is between 150< h < 160cm, and the most common height for the boys is between 50 < w < 60kg. However this data shows know statistical information about this coursework.
The histograms given for the girls’ height above shows me the graphical data of the girls’ height. As a result, I understand that the most common frequency weight interval is 150 < h < 160cm and the least common frequency interval is 130 < h < 140cm.
Furthermore the other histogram given is for the girls’ weight above which shows me the graphical data of the girl’ weight. As a result, I understand that the most common frequency weight interval is 40 < w < 50kg and the least common frequency interval is 70 < w < 80kg.
This data shows me the frequency polygon for boys’ height. From this data, you are able to visualize and understand the frequency data of the boys. As a result, I understand that the most common frequency weight interval is 150 < h < 160 and the least common frequency interval is 130 < h < 140 as the graph begins here. You are also able to see the increase in the intervals from 130 < h < 150 to 160 < h <170 and from there you can see the dramatic decrease after that.
This data shows me the frequency polygon for boys’ weight. From this data, you are able to see the quick increase from 45kg’s to 55kg’s as it is the largest increase. From there, there is a rapid decrease until 65kg, after that it is evident that there is a further increase until 75kg’s and after that there is a decrease which rapidly goes down.
This data shows me the frequency polygon for girls’ height. From this data, you are able to visualize and understand the frequency data of the girls. As a result, I understand that the most common frequency weight interval is 153 < h < 159 and the least common frequency interval is 135 < h < 145. You are also able to see that there is a steady increase which moves into an instant increase however after that there is a sudden decrease which moves into a very quick decrease.
This data shows me the frequency polygon for girls’ weight. From this data, you are able to visualize and understand the frequency data of the girls. As a result, I understand that the most common frequency weight interval is 54< h < 56 and the least common frequency interval is73 < h < 75. From this data you are able to see that there is a steady increase from 45kg’s and then after that there is a rapid decrease from 55 to 65kg’s and then it very slowly decreases.
This box plot shows that there is a wider range of weight with the boy’s than with the girl’s which means that the minimum is lower and the maximum is higher, and also that the median is higher for the boy’s this suggest that boy’s overall weigh more than girl’s. It is also noticeable that each quartile for the boy’s weight is bigger than the girl’s weight.
The box plot shows that there is a wider range of height with the boy’s than with the girl’s which means the minimum is lower and the maximum is higher, and also that the median is higher for the boy’s this suggest that overall boy’s are taller than girl’s
Scatter Graph:
This Scatter graph as well as the one underneath proves that my hypothesis is right because its shows the Taller you are the more you weigh on average. It is also noticeable that both graphs have a positive correlation.
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Boys and Girls Weights