Data spearmans number correlation? Female 0. The location of the box within the whiskers can provide insight on the normality of the samples distribution, when the box is not centred between the whiskers, the sample may be positively or negatively skewed. Despite the fact that this is secondary data, i believe edexcel (a recognised examination board) to be a trustworthy source. With the cumulative frequency graph displaying weight, the females data produces an almost perfect s-shape curve, whereas the males data has, what seems to be, an anomaly (the third point allocated at the weight of 45kg and cumulative frequency of 9) which affects its shape. Plan i am going to collect data about the club members from the edexcel website Buy now Statistics Coursework
After calculating the frequency density for the male and female heights and weights, i created four histograms the advantage of a histogram is that it shows the shape of the distribution for a large set of data and so was therefore able to show me the shape of the distributions for male and female heights and weights, however, when using histograms it is more difficult to compare two or more data sets as we are unable to read exact values as the data is grouped into categories. From a first glance at the histograms it is easy to see they are not completely symmetrical but not entirely asymmetrical, i expect if i were to have used a larger sample the histograms would have appeared more symmetrical Statistics Coursework Buy now
This indicates that, as height increases, weight also increases - with both genders showing very similar patterns. This will provide me with a sample representative of the population. This, to me, suggests the results may not be completely reliable - if there was a larger gap, then i would be convinced my first sub-hypothesis was incorrect. The lowest value which appears on the box plot for males is 30kg and the highest is 75kg, giving us a range of 45kg. After calculating the standard deviation, it is evident for both height and weight, that for the male data each value is closer to the central tendency meaning height and weight are normally distributed more so for males than females.
Boys will, however, eventually grow taller and so in years 10-11 it can be assumed the number boys taller than girls will be greater Buy Statistics Coursework at a discount
The advantage of the inter-quartile range over the standard deviation, however, is that the inter-quartile range includes half of the points regardless of the shape of the distribution. The females median, however, is extremely close to being halfway between the two quartiles showing us a more symmetrical distribution than that of the males this may explain the almost perfect curve on the frequency graph which the points plotted for females produce. All boys and girls height (m) (x) weight (kg) (y) year 183 x 100 10 (r) year 183 x 100 12 (r) year 183 x 100 9 (r) year 3 x 100 8 (r) year 83 x 100 7 (r) year 83 x 100 7 (r) finding out the number of records required from each category of student, i used a random number generator on a calculator to obtain the student numbers that i needed for the sample Buy Online Statistics Coursework
I also believe, that my first sub-hypothesis is correct, and the improvements mentioned (primarily the larger sample size) would support this. Ran x (131 females in year 10) this will give me random number between 1 and 131. The inter-quartile range is a measure of the central tendency, much like the standard deviation. Looking at the same pieces of data for the females, we can work out that the range is in fact 5kg less than that of the males. For example, if i had chosen to look at eye colour and hair colour my analysis would be limited and therefore my investigation may be imprecise.
Control all untested variables, such as age. There is a weak positive correlation between height and weight for females and a moderate positive correlation for males as it is slightly stronger Buy Statistics Coursework Online at a discount
The advantage of the inter-quartile range over the standard deviation, however, is that the inter-quartile range includes half of the points regardless of the shape of the distribution. I believe that as a student becomes taller their weight will increase due to this assumption i expect a graph of weight and height to show a rising trend. The females median, however, is extremely close to being halfway between the two quartiles showing us a more symmetrical distribution than that of the males this may explain the almost perfect curve on the frequency graph which the points plotted for females produce. When the average male and female both reach the age of 20 it is said females are generally 10 percent shorter than males and 20 per cent lighter and between the ages of 11 and 16 males appear to generally be 15 percent taller and heavier than the female sex Statistics Coursework For Sale
The box represents the middle 50 of the data sample- half of all cases are contained within it. My aim in this investigation is to query whether or not there is a correlation between height and weight and find out if this varies between genders. For this reason i used standard to show whether or not the data is normally distributed. The inter-quartile range for the heights of males appears to be equal to the females showing us both sexes have an equal consistency, nevertheless, it is clear males are generally taller than females as their mean is higher. Plan i am going to collect data about the club members from the edexcel website.
Whether this is attributable to, the varied skeletons of the opposed sexes or the dissimilar hormones produced, it has been proved females are generally shorter and weigh less than males For Sale Statistics Coursework
For example, if i had chosen to look at eye colour and hair colour my analysis would be limited and therefore my investigation may be imprecise. The distribution for the weight of males is, therefore, more u-shaped. Ran x how much students there are in my group. The medians lie at the same point- 1. Looking at the box plots for weight, we see that half the females weights are between 45 and 55kg whereas half the mens weights lie between 45 and 60kg.
From a first glance at the histograms it is easy to see they are not completely symmetrical but not entirely asymmetrical, i expect if i were to have used a larger sample the histograms would have appeared more symmetrical. Nevertheless, if i were to be analytical, i could say both the box plot showing the weights are positively skewed, despite them being insignificantly shifted to the lower end they are edging more towards that direction than the opposite Sale Statistics Coursework