Statistics
Statistics
Question 1
Select the same social issue (homelessness)in two countries.
a) Collect 8 years of data on the issue from each of the two countries, where appropriate.
homelessness
|
|
USA |
UK |
|
2010 |
233534 |
1768 |
|
2011 |
231472 |
2181 |
|
2012 |
231398 |
2309 |
|
2013 |
195666 |
2414 |
|
2014 |
175399 |
2744 |
|
2015 |
173268 |
3569 |
|
2016 |
176357 |
4134 |
|
2017 |
192875 |
4751 |
b) Compute the following descriptive statistics for the data collected:
|
Column1 |
Column1 |
|
|
|
|
|
|
Mean |
201246.125 |
2983.75 |
|
Standard Error |
9483.799513 |
371.978386 |
|
Median |
194270.5 |
2579 |
|
Mode |
#N/A |
#N/A |
|
Standard Deviation |
26824.23579 |
1052.113757 |
|
Sample Variance |
719539625.6 |
1106943.357 |
|
Kurtosis |
-2.120851185 |
-0.832156376 |
|
Skewness |
0.329023081 |
0.723153076 |
|
Range |
60266 |
2983 |
|
Minimum |
173268 |
1768 |
|
Maximum |
233534 |
4751 |
|
Sum |
1609969 |
23870 |
|
Count |
8 |
8 |
|
Descriptive Statistics
|
USA (Variable X) |
UK (Variable Y) |
|
|
|
|
|
i) Mean |
201246.125 |
2983.75 |
|
|
|
|
|
ii) Standard Deviation |
26824.23579 |
1052.113757 |
|
|
|
|
|
iii) Coefficient of Variation |
0.133291 |
0.352615 |
|
|
|
|
|
iv) Covariance (between X and Y) |
|
|
|
v) Coefficient of correlation (between X and Y) |
|
|
c) Justify in which country the social issue is more serious, based on the data themselves and, where appropriate, the numerical descriptive statistics in b).
(2 marks)
Answer:
Country:____________________________________
Reason:_____________________________________
d) Justify whether the social issue, based on the data themselves and, where appropriate, the numerical descriptive statistics in b), is a common phenomenon (viz. correlated) between the two countries.
Justification:_________________________________
e) Imagine you are the prime minister of one of the two countries.
Justify or “lie” that the social issue had improved under your administration, with
i) An appropriate graphical method (e.g. bar chart; histogram; line chart) and its interpretations
ii) The data themselves and, where appropriate, the numerical descriptive statistics in b) and their interpretations.
Answer
i) Justify / “lie” with the graphical presentation of data:
___________________________________
ii) Justify / “lie” with the data themselves and, where appropriate, the numerical descriptive statistics in b). You might like to further support your answer with qualitative considerations like government policies implemented, changes in population and social demographics, and alike:
___________________________________
f) Select one of the two countries, and suggest a plausible factor that, in the Group’s opinion, has contributed most to the social issue.
Explain the causation between the social issue and the factor the Group has suggested.
Answer
i) Factor:
___________________________________
ii) Explanation of the causation:
___________________________________
g) Imagine you are the president of the HumanRightsCommission of United Nations.
You would like to test whether the claimby the President is supported by evidence.
Set up and to test the claim.
Note: µ is the unknown and hence assumed parameter mean for Variable X or Y.
Answer
i) (in the form of : µ = a numerical value which you need to justify from the data collected)
: µ = ?
President’s claim (he / she had done a good, average or bad job in mitigating the social issue):
_________________________________________
Justification of the numerical value of µ: ________
ii) (in the form of : µ ≠, > or < the numerical value in )
: µ =, ≠, > or <?
Justification of the choice of ≠, > or <:________
Question 2
What is the most important lesson you have learnt in presenting and interpreting statistical data from undertaking the assignment, especially e)? Please explain.
Answer
i) Lesson:
___________________________________________
ii) Explanation:
____________________________________________
Page 3 of 4