Girls
Girls
I found that the mean weight range or the boys, in my sample, was heavier than the girls.
To get the average weight of both boys and girls, I decided to find the mean, mode, median using the main big table on page , this would mean that I get a more accurate perspective of the overall data. I also decided to find the range. To find the mean weight, I first added all the figures in the boy’s weight column then dived by the total amount of figures there are, which is 30. I.e. 66+63+57+56+…54+62+57 ÷ 30
This then gave me the mean weight of the boys. I did exactly the same method to find the mean height range by using the data in the height column. I used the same method to find the mean range for the girl’s as well.
Mean weight for boys – 59.1
Mean weight for girls – 49.1
Mean height for boys – 1.71
Mean height for girls – 1.64
To find the modal range I simply looked at the dual bar charts. The mode is the one that occurs the most. So the highest bar would be the mode of that particular data.
Mode weight range for boys - 5060
Mode weight range for girls – 4050
Mode height range for boys – 1.701.80
Mode height range for girls – 1.601.70
To work out the median, you add 1 to the total frequency for the data you have and divide by 2. The number that you get is the median number which is the middle number/range of the sample of data set in a numeric order. There are 30 people in each sample, so the median will be half way between 15 and 16.
Median weight range for boys - 5060
Median weight range for girls - 4050
Median height range for boys - 1.701.80
Median height range for girls - 1.601.70
To work out the range, you takeaway the smallest data away from the largest data. This then shows you how spread out your data is.
Range of weight for boys - 58
Range of weight for girls - 33
Range of height for boys – 0.63
Range of height for girls – 0.31
From the table of summary above, all 3 averages, (mean, median and mode) are slightly greater for the boys than the girls. This is the same for the range as well. So, it would seem that indeed boys are taller than girls. Due to the fact that the average weight for my sample is greater than for the boys, it would be correct to say that indeed, the taller you are the heavier you weigh. Thus, backing up my hypotheses that:
1) The taller you are the heavier you are.
2) Boys are generally taller than girls.
Further Investigation
I already found evidence to suggest that the gender affects both the weight and the height. To back up my hypotheses I am going to relate both height and weight together. From both scatter graphs A and B we can see that there is a positive correlation between height and weight. The correlation for the boys is steeper than the correlation for the girls which supports my hypotheses that the taller you are the heavier you weigh.
Cumulative Frequency
Boys
Girls
Boys
Girls
The best way to show data in the tables above about cumulative frequency is by a cumulative frequency graph. I have drawn both cumulative frequency graph A and B to represent the information in the table. I have drawn the boys and girls together for both weight and height range. We can see form the graph that the boys are generally taller and heavier than the girls which confirms my hypotheses:
1) The taller you are the heavier you are.
- Boys are generally taller than girls.
Evaluation
To improve my investigation I could next time look at a bigger sample of data, rather than just 30. Keeping that in mind, I could use data from another school, possibly from another part of the country. I have evidence to suggest that the link between height and weight is valid if I restrict myself to one year group. I used year 11’s, so next time I could possibly use year 10 and 11.
Conclusion
My hypothesis,
- Boys are generally taller than girls
- The taller you are the heavier you weigh
was proven to be correct from my sample of data. I had positive correlations and a slightly greater amount of averages for the boys than the girls. This is pretty much what I expected to happen, though a more definitive difference was expected from me. Despite this, I got a positive result and so I am happy with my end conclusion.