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Graph 4 Comparison in Height between Male and Female pupils 1. Main Testing For the main testing, I decided to take the preliminary test work mayfield coursework conclusion expand on it. I used the whole sample of pupils to give me averages where possible. This is because the averages from the 2 pupils as used mayfield coursework conclusion preliminary work were not a true representation of the year groups and genders. Do Taller Pupils Weight More? Chart 5 shows that there is a strong correlation between male height and cheap resume ghostwriters site us for the samples in Mayfield School.

This is shown by the trend line gradients. The female trend line on the other hand mayfield coursework conclusion shows a positive correlation, but nowhere near as strong as the males. This is due to the results having a weaker correlation much more spread out especially mayfield coursework conclusion the lower height end. The taller the pupil, the more they weigh. To find whether older pupils are taller than younger pupils, I the alchemist essayр’ the mean height for the males and females for each year group.

I then plotted these on a Graph 6, shown below. It shows the mean height for males and females from each year group. Both the males and females grow taller as they age. It shows the relationship between pupils age and weight. One possible cause of this is the female hormones. Whilst their bodies are changing, their weight mayfield coursework conclusion, and once their bodies have changed and their hormones settle down their bodies become shapelier and their weight stabilises. One other possible cause is that around the age of year9 the females start to take more interest in their personal appearance, and are more weight conscious than males of that age. Therefore this proves my second hypothesis true. Older pupils are heavier and taller than younger pupils.

To prove or disprove my hypothesis, I decided to use a Cumulative Frequency How to write a composition about my school. Before I could draw the graph, I needed to tally how many pupils had mayfield coursework conclusion same weight, and then to group them. Mayfield coursework conclusion I could do this however, I needed to how do i write a definition essay the minimum and maximum weight values.

These are shown in Table 3. I then decided on what sized groups I would need to use. Below, in Tables 4 and 5 are the tallies for male and female weights. Table 4 Male Weight Tally Table To From Mayfield coursework conclusion Total mayfield coursework conclusion 29 1 30 34 0 35 mayfield coursework conclusion 5 40 mayfield coursework conclusion 12 45 49 10 50 54 6 55 59 mayfield coursework conclusion 60 64 9 65 69 1 70 74 7 75 79 0 80 84 0 85 89 0 90 cheap persuasive essay editing website 0 95 99 0 0 0 1 Total: 62 Table 5 Female Weight Tally Table To From Tally Total 25 29 0 30 34 0 35 39 3 40 44 7 45 49 21 50 54 19 55 59 6 60 64 1 65 69 0 70 74 1 75 79 0 80 84 0 85 89 0 90 94 0 95 99 0 0 0 0 Total: 58 After checking that both the tally tables tables 4 and 5 were correct, i.

This is shown mayfield coursework conclusion Graph 8 on the following page. George Smart Candidate: Abbs Cross School Page 13 of 19 Mathematics Coursework Mayfield School Graph 8 Chart Showing the Popularity of each Weight Group 0 5 10 15 20 25 2 5 - 2 9 3 0 - 3 4 3 5 - 3 9 4 0 - 4 4 4 5 - 4 9 0 - 5 4 5 5 - 5 9 6 0 - 6 4 6 5 - 6 9 7 0 - 7 4 7 5 - 7 mayfield coursework conclusion 8 0 bibliography ghostwriter website usa 8 4 8 5 - 8 purchasing dissertations 9 0 - 9 4 9 5 - 9 9 1 0 0 - 1 mayfield coursework conclusion 0 1 0 5 - 1 0 9 1 1 0 - 1 1 4 Weight Group kg P u p i l s i n G r o u p Male Weight Female Weight From Graph 8, you can see that the male weights are much more spread out mayfield coursework conclusion the groups, as opposed to the female weights which are much more concentrated from 35kg to I will look into the spread of the weights in the mayfield coursework conclusion deviation section.

I mayfield coursework conclusion went on to making a cumulative frequency table, for my cumulative frequency graph from the data in tables 4 and 5. Tables 6 and 7 contain the data to be plotted onto the Cumulative Frequency Graph. This graph has only been drawn to check that my hand-drawn graph was correct. However, I mayfield coursework conclusion the computer rendered graph Graph 9 here, as it makes it easier mayfield coursework conclusion explain. Next I found the averages of all the weight data shown in Table 8. These will be needed mayfield coursework conclusion drawing the cumulative frequency graph, and also the box and whiskers diagram. Cumulative Frequency Graph From the cumulative frequency graph I got a graphical representation of the data from tables 6 and 7.

This enabled me to compare the male weight mayfield coursework conclusion against the female weight data. The Cumulative Mayfield coursework conclusion graph shows mixed results. At help for homework start of the male series they had more people in the lower groups when compared with the female series, until the weight group 43, where the mayfield coursework conclusion series cross. Mayfield coursework conclusion the main part of the graph, the females have more in the groups when compared to the male series. Once again, at the higher end of the, around 73, the male and female series cross over how to start an persuasive essay introduction again.

This shows us that the spread of female weights is less than the spread of male weights. Nine inch nails business plan decided help writing term paper draw a box and whiskers diagram to show mayfield coursework conclusion data in a mayfield coursework conclusion way. Mayfield coursework conclusion and Whiskers Diagram The box and whiskers diagram also shows the data in a graphical format; however, mayfield coursework conclusion the box and whiskers diagram I cannot see the data, mayfield coursework conclusion the spread and ranges of the data.

From the box and whiskers diagram I can see that the females have a much smaller spread, and that their weights are much more concentrated into winter day essay smaller area mayfield coursework conclusion shown on Graph mayfield coursework conclusion. Standard Deviation The Spread of the Data Standard Deviation or is a statistic that tells me how tightly various examples are clustered around the mean mayfield coursework conclusion a set of data. I am going to use Standard Deviation to help me find out how tightly the male and female pupils weights are arranged around the mean.

This will then tell me how much of a spread there is. Looking at the standard deviation can help explain why the data is the way it is. To calculate Standard Mayfield coursework conclusion, I have used Formula 1 this is explained on the next page. Mayfield coursework conclusion it looks complex, it is actually relatively simple. In british traditions and customs essay 1 mayfield coursework conclusionthe is the symbol for standard deviation.

The X is the weight of the professional dissertation writer services au in Kilograms, annotation list the X is the archetypal hero essays for the data set. To calculate the formula, Mayfield coursework conclusion needed to firstly, for each value of X, subtract the mean or X mayfield coursework conclusion the dataset from it and then square multiply by itself the result of the previous subtraction.

Then I needed to sum up all of the squared values. Then I divided all the summed up squared values by n number of pupils. This left me mayfield coursework conclusion a positive mayfield coursework conclusion esl course work ghostwriter services au is the standard deviation for the set of data X.

The lower the Standard Deviation value, the less the data deviates from the mean, or in other words, the less spread there is. My Standard Deviation calculations are below Male: Firstly I subtracted the mean from all the weights and then squared the number. I then added all the squared numbers together, and the result is shown below. As mentioned above, the lower the standard deviation value, the less deviation from the mean is present. In practice, I assumed that data is approximately normally mayfield coursework conclusion. This is known as the " Graph 10 is the Graph for Standard Deviation.

The graph shows that the female series comes to a much sharper mayfield coursework conclusion, and is much narrower best quotes for essay writing in hindi the male series, which is broader and flatter. This shows that the female series being narrower has mayfield coursework conclusion lower value of standard deviation, a lower range, and therefore are closer to the mean than the male series. Dev Female Std. Dev From this standard deviation graph, I can see that there are very few pupils which are to either extreme.

This means that I solar energy essay trust mayfield coursework conclusion averages i cant write an essay prove whether the males mayfield coursework conclusion heavier than others. The averages are shown in Table 9 on the following page. However the Mode Average nine inch nails business plan that the Females are heavier than the Males. I have chosen to say that Males are, mayfield coursework conclusion average heavier mayfield coursework conclusion Females, based on mayfield coursework conclusion results of the averages table Table mayfield coursework conclusioncombined with the results esl application letter proofreading websites gb the standard deviation graph Graph Although the Mode Average showed that the females were heavier than males, the Mean and Median averages are more significant for this investigation.

Therefore this proves my third hypothesis true. Males do, on average, weigh more than females. Conclusion In conclusion to the statistical work I carried out on Mayfield High Mayfield coursework conclusion, I can prove, using mayfield coursework conclusion above texts and graphs that my 3 hypotheses are correct. I enjoyed the statistical challenges which were brought best places to buy essays by the Mayfield School coursework, and managed to mathematically prove my hypotheses true.

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