# Statistics coursework part 1

Extracts from this document...

Introduction

Statistics coursework part 2

Hypothesis 1:

‘My hypothesis 1 is that boys are generally heavier than girls’

Hypothesis 2:

‘My hypothesis 2 is that boys are usually more varied in weight than girls’

Method:

To begin I went on maths intranet and saved a new file named Mayfield School. Following this I opened it in a excel document and began to order.

Using a stratified sample of 30 % I got my results by using a random sample, I took 30 % of each year and compiled it into a new column named Males/Females. Then I copied the first column containing the Males statistics and using the autograph program I pasted it into the grouped data menu. One the data was available at the bottom of the screen I was able to use it to get the histograms, box plots and polygons I needed.

Using the data set named Males, I was then able to draw a histogram, and then repeat for the females. Once the histograms have been achieved you are then able to make polygons which are needed for this investigation.

Middle

7 | Abbas | Masooma | Male |

The pupil ‘Masooma Abbas’ also is a error in weight because they have no weight.

Anomalies:

7 | Green | Emily | Female | 140 |

This is the pupils who has an anomalies due to her weight because it is unlikely that a year 7 pupil will weigh 140kg

Results and observations:

Stem and Leaf Diagram showing the weights of 173 females:

10:

20:

30: 3 4 5 5 5 5 6 6 8 8 8 8 9

40: 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9

50: 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9

60: 0 0 0 0 1 1 2 2 3 3 4 5 5 5 5 5 6 6 7

70: 0 2 2 4

80:

90:

Stem and leaf diagram showing the weight of 173 females with modified intervals.

20:

30: 3 4 5 5 5 5 6 6 8 8 8 8 9

40: 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 3 3

44: 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3 3

48: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3

52: 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 66 7 7 7

60: 0 0 0 0 0 01 1 1 2 2 3 3 4 5 5 5 5 5

70: 0 2 2 4

80:

In order to get better results I have had to modify the group boundaries on my first stem and leaf diagram so that I could get more accurate results and graph.

When looking at a stem and leaf diagram, you are not able to get a good indication or extra results however you can see the group boundaries used for your histogram and a general idea of how the histogram will be set out.

This histogram shows the weights of approximately 173 girls from years 7-11 taken from Mayfield school.

This histogram shows

A results box for 173 girls.

Raw Data Statistics:

Number in sample, n: 173

Mean, x: 49.9538

Standard Deviation, x: 8.19828

Range, x: 41

Lower Quartile: 45

Median: 49

Upper Quartile: 54.5

Semi I.Q. Range: 4.75

Conclusion

This box plot shows that the males have a larger range in data compared to the males, although the females have a smaller median.

The medium contained on this graph strongly shows that there is a very small difference between them, the females have a medium of 49 whereas the males have a medium of 50.

There is also a substantial difference between the quartiles; the

Males

Lower Quartile: 45

Upper Quartile: 60

Females

Lower Quartile: 45

Upper Quartile: 54.5

As we can see, the males have a large upper quartile than the females.

Conclusion:

Now that I have studied Hypothesis 1 I can say that I believe this statement, this is evident in my box and whisker diagrams because the medium is larger meaning that the average weight is generally higher. This is also evident in the histogram because you can see that the bars are generally closer together and not as spread out along the x-axis.

I can also say that my Hypothesis 2 is correct as well, this is evident when looking at the histograms because unlike the Females, the data is generally situated in the centre of the graph whereas the males is more widely spread out.

Evaluation:

If I was going to repeat this investigation again I would change

This student written piece of work is one of many that can be found in our GCSE Height and Weight of Pupils and other Mayfield High School investigations section.

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