maths assignment

Topics: Interquartile range, Median, Quartile Pages: 11 (1039 words) Published: August 6, 2014
TASK 1: GETTING A HAND ON DATA
ORGANISING YOUR DATA:
A. Summarise your results in a table.
Name
Age
Writing Hand R/L?
Writing hand angle
Non-writing hand angles

Right (√)
Left (√)

Zac Taylor
15


50o
50o
Eric Na
17


55o
52o
Damian Bielinski
15


49o
48o
Ashley Vandenput
15


47o
50o
Tolga Pasin
15


50.5o
53o
Corey Evans
15


52o
50o
Romy Abbott
14


50o
53o
Candice Shadford
15


45o
54o
Jess Dayus
14


50o
55o
Joel Dayus
11


49o
55o
Myriam Dayus
42


58o
45o
Toby Abbott
16


53o
52o

B. Arrange your data in numerical order.

C. Calculate the five number summaries and summarise this information in a table.

D. ANALYSING THE DATA:
a) Select three (3) categories from those above and construct parallel box plots from your five number summaries. b) Provide printouts of the three parallel boxplots.

E. Write a 300 word (approx) detailed analysis of the parallel boxplots. Twelve people were tested on the angles of their writing and non-writing hand. These people aged through from eleven (11) to forty two (42), the data obtained was put into tables and a box plot diagram. A box plot is a diagram used to represent the range, median and quartiles of a set of data values. The difference between males and females will be compared, along with the shape of distribution of the diagram and the range. The three sets of data that were chosen to compare were the writing hand, males writing hand and females writing hand. These three were chosen as they all have a similar topic (writing hand) and will be easily compared and contrasted in regards to correlations between gender and the angles of writing hands. The first box plot is almost double in length than the other two; this is because it had the data from both males and females rather than one or the other like the other two. It also had a large range, though the upper and lower quartiles were close to the beginning and end (minimum and maximum) of the box plot which caused the shape of distribution to be rather close and not very spread. Looking below to the second box plot, the first thing you notice is that it seems as though it is lacking a minimum. This is due to the minimum angle being the same as the lower quartile angle. With both angles being 49o, the shape of distribution becomes slightly off and is missing the distinctive line for the minimum. The range of the male writing hand is also noticeably smaller than the other two, this shows that on average males hands are more alike than females. The last box plot has a minimum and maximum that are further away from the upper and lower quartiles and the median. This causes the shape of the box plot to be quite spread out with the median and quartiles close together. The female writing hand box plot is also the same length as the writing hand box plot; this is because the minimum and maximum data from the writing hand came from females. When putting the male and female writing hand box plots in comparison to each other, you can see that females have a much larger range than the males as discussed before. This causes the female box plot to have a lower, lower quartile and median and a higher upper quartile. The median for males is only slightly higher than the median for females, keeping in mind that males had data from an eleven (11) year old and females had data from a forty two (42) year old. This can cause the data to be slightly swayed as there were not equal age groups for both box plots. Overall males had a higher minimum, lower quartile and median and a lower maximum and upper quartile. It was interesting that females had a higher maximum than the males though the female maximum was from the forty two (42) year old. It was not expected that female maximum would be higher than males but it is reversed in the median where the male median is slightly higher than the females....
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