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Mathematics A: Statistics Coursework Assignment - Research Paper Example

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Mathematics A: Statistics Coursework Assignment

103.5
255
204
2.5
51
202
25
88.8
87
137
82
1.8
55
219
26
133.1
130.8
212
156
2.3
56
226
27
81.5
78.9
111
54
2.6
57
235
28
103.4
96
154
96
7.4
58
227
29
96.5
94.9
300
241
1.6
59
228
30
103
97.2
192
124
5.8
68
223
31
76.8
73.2
165
96
3.6
69
217
32
126
123.2
226
152
2.8
74
218
33
103.7
95.5
199
120
8.2
79
210
34
108.1
100.9
167
87
7.2
80
232
35
107
99.2
232
63
7.8
169


Table no. 2: Weight loss and change in TG level, continuous data.

class for weight loss
frequency

class for change in TG level
frequency
-1.9_-1.0
1

-349_-305
1
-0.9_0
1

-304_-260
0
0.1_1.0
1

-259_-215
0
1.1_2.0
6

-214_-170
0
2.1_3.0
9
Weight loss modal class
-169_-125
0
3.1_4.0
3

-124_-80
0
4.1_5.0
2

-79_-35
7
5.1_6.0
3

-34_10
7
6.1_7.0
1
Change in TG level
modal class
11_55
10
7.1_8.0
5

56_100
9
8.1_9.0
2

101_145
0
9.1_10.0
1

146_190
1

The analysis of discreet data from table No. 1, we can calculate the mean, median and mode. The mean weight loss of the 35 patients is 3.93 and the change in TG level is 11.37. The median analysis, shows that 2.8 is the median for change in weight loss and 18 is the median for change in TG level. 2.1 - 3 kgs is the modal class for change in weight and 11- 55 is the modal class for change in TG level, as we have the maximum number of patients in this class.
When we want to calculate the mean, median and mode for continuous data, the data from table 2 has to further arranged as follows:

class (grouped data)
weight loss(x)
frequency(f)
cumulative frequency
f * x
class (grouped data)
change in TG level(x)
frequency(f)
cumulative frequency
f *...
Hence, this study of the two variables uses various statistical techniques to clearly understand the relationship, which are presented in the following pages.
From the information provided, the patients taken up for study , have their body weights within the range of 69.4 and 133.1 Kgs. After 8 weeks of exercise, diet and drug treatment, it is observed that there is decrease in weight and also a decrease in the triglyceride levels. The tabular column showing the change in weight loss and change in the triglyceride levels is shown below:
The analysis of discreet data from table No. 1, we can calculate the mean, median and mode. The mean weight loss of the 35 patients is 3.93 and the change in TG level is 11.37. The median analysis, shows that 2.8 is the median for change in weight loss and 18 is the median for change in TG level. 2.1 - 3 kgs is the modal class for change in weight and 11- 55 is the modal class for change in TG level, as we have the maximum number of patients in this class.
This graph shows clearly the nature of the patients. Their weights and the change in the TG level are shown. It can be seen from the graphs that majority of the patients being to the class of 2.1 - 3.0. ...Show more

Summary

In statistics, it is possible to have summary statistics to denote the nature of a data set. These summary statistics we can have a more precise nature of the data than we can have from data and graphs. These numbers can help us to make quicker and better decisions, because with these summary statistics, we don't have to refer to the original data set every time…
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