Statistical Analysis Subject

SOUTHERN CROSS UNIVERSITY School of Business and Tourism MAT10251 Statistical Analysis

PROJECT COVER SHEET

Please complete all of the following details and then make these sheets the first pages of your project – do not send it as a separate document.

Your project must be submitted as a Word document.

PART A

Student Name:	Umair Elahi
Student ID No.:	23039692
Tutor’s name:	Badri Bhattarai
Due date:	16th November 2018
Date submitted:	14Th November 2018

Declaration:

I have read and understand the Rules Relating to Awards ( Rule 3 Section 18 – Academic Integrity ) as contained in the SCU Policy Library. I understand the penalties that apply for academic misconduct and agree to be bound by these rules.

The work I am submitting electronically is entirely my own work.

.

Signed: (please type your name)	Umair
Date:	14/11/18

STUDENT NAME: Umair Elahi STUDENT ID NUMBER: 23039692

MAT10251 – Statistical Analysis

Project Part A

Enter your sample number below

Sample Number (last digit of your student ID number)	2
Fuel First letter family name A to M – Unleaded 91 First letter family name N to Z – Diesel	E

Value: 5%

PLEASE ENSURE YOU KEEP A COPY OF YOUR PROJECT

Figure 1(Histogram) Similar to Video

Bins	Midpoints	Frequency
134.99	$132.50	6
139.99	$137.50	21
144.99	$142.50	12
149.99	$147.50	16
154.99	$152.50	15
159.99	$157.50	10
164.99	$162.50	0

Figure 2 (Histogram) With New Clases Bins and Midpoints

Bins	Midpoints	Frequency
131.99	$131.00	0
133.99	$133.00	4
135.99	$135.00	9
137.99	$137.00	7
139.99	$139.00	7
141.99	$141.00	4
143.99	$143.00	6
145.99	$145.00	4
147.99	$147.00	6
149.99	$149.00	8
151.99	$151.00	6
153.99	$153.00	7
155.99	$155.00	10
157.99	$157.00	1
159.99	$159.00	1
161.99	$161.00	0

The First and Second graph are construted using the same data but because of choosing different classes the shapes are different . The first data set shows a skew to the right while the second one is showing some sort of symmetric or uniform data set, the first graph is constructed using 5 cents difference while the second is costructed using 2 cents difference,

So defining the second one in detail.As you can see that the above grapgh is representing the NSW Unleaded 91 Fuel prices in 80 Town/Suburbs according to Cents per litre with different prices ranging from 132.9 cents / litre the minimum to 158.9 cents / litre the maxium.

Descriptive Summary
	Cents Per Litre
Mean	145.3375
Median	145.85
Mode	155.9
Minimum	132.9
Maximum	158.9
Range	26
Variance	55.5586
Standard Deviation	7.4538
Coeff. of Variation	5.13%
Skewness	0.0083
Kurtosis	-1.3280
Count	80
Standard Error	0.8334

From the above graph we can see that there are four suburbs for the fuel prices ranging from 130 cents/litre to 134cents/litre, four for 142cents/litre to 144cents/litre and four for 144cents/litre to 146 cents/litre while majority of the suburbs has got the same price range i.e. 134 cents/litre to 136 cents/litre and but if we see prices ranging from136 cents/litre to 138 cents/litre and 138 cents/litre to 140 cents/litre we can see that seven of the suburbs has got the same price range respectively.

Descriptive Statistics

More useful information can be found in the descriptive statistics in the table given above. In particular the least fuel price among all of the suburbs in NSW is 132.9 cents/litre while the most expensive or highest is 158.9 cents/litre. The median, which is the middle value among 80 suburbs fuel prices is 145.85 cents/litre i.e. 50 precent of the suburbs are falling under this price range. While the mean, the single value, the central tendency, the average is 145.335 cents/litre. As the mean and median are comparatively same we can conclude that average fuel price among 80 suburbs is 145.335 cents/litre. However the standard deviation of 7.4538 shows that the most of the fuel prices are very very close to the mean i.e. 145.335 cents/litre because of the less standard deviation.

Five-Number Summary
Minimum	132.90
First quartile	137.90
Median	145.85
Third quartile	151.90
Maximum	158.90

Furthermore we will end up by describing the five numbers summary given above which divides the samples into quarters, with 25% of the data set in the sample lie below the first quartile i.e. 137.90 cents/litre and 25% more lie above the third quartile i.e. 151.90 cents/litre.

Figure 3 Boxplot

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