INSTITUTE OF MANAGEMENT DEVELOPMENT AND RESEARCH (IMDR), PUNE

PGDM 2012-14 BATCH

Mathematics & Statistics
Sub :- Correlation and linear equation

Submitted to:Submitted By:
Prof. Abhijeet Shivane Astha Pathak(Roll No.-06)
Piyush Bendre (Roll no – 08) Vivek Bisen ( Roll no.- 10)

Introduction:
India is the second largest onion growing country in the world. Indian onions are famous for their pungency and are available round the year. Indian onions have two crop cycles, first harvesting starts in November to January and the second harvesting from January to May. Varieties:

The major varieties found in India are Agrifound Dark Red, Agrifound Light Red, NHRDF Red, Agrifound White, Agrifound Rose and Agrifound Red , Pusa Ratnar, Pusa Red, Pusa White Round. There are certain varieties in yellow onion which are suitable for export in European countries Tana F1, Arad-H, Suprex, Granex 55, HA 60 and Granex 429. Areas of Cultivation :

The Major Onion producing states area Maharashtra, Gujarat, Uttar Pradesh, Orissa, Karnataka, Tamil Nadu, Madhya Pradesh, Andhra Pradesh and Bihar. Maharashtra ranks first in Onion production with a share of 32.45%, however, in terms of productivity, Gujarat ranks first at 22.9%. India Facts and Figures :

There is a lot of demand of Indian Onion in the world, the country has exported 1,30,98,63,236 MT of fresh onion to the world for the worth of Rs. 1,722.89 crores during the year 2011-12 Modern packhouses for sorting, grading and packing of the quality onions are available at production zones. Guidelines has been framed to determine the compliance with maximum residue levels (MRLs) for the identified pesticides .Grade designation and quality development parameters has been set up. Major Export Destinations (2011-12) : Malaysia, Bangladesh, United Arab Emirates, Sri Lanka,...

...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...

...term of form six.
MANUAL FOR COURSEWORK
The manual contains regulations and guidelines on
the conduct and assessment of coursework which
needs to be implemented by the school as well as
coursework assignments.
The school authority is responsible to make copies of
Part 2: Student’s Manual For Mathematics (T)
Coursework of this manual to be given to the
students.
Student are required to complete the coursework
which comprises three assignments in the respective
terms.
IMPLEMENTATION
Students must carry out each assignment
individually. Plagiarism will be penalised.
Teachers must monitor the progress of the
student’s coursework. It is, however, not
acceptable for teachers to give detailed
suggestions as to how the work may be improved
to meet the assessment criteria.
Examples of unacceptable assistance are as
follows:
•
detailed
omissions
indication
of
errors
or
•
the provision of detailed outlines,
analysis, discussion, or conclusion specific to the
coursework tasks
•
personal intervention to improve the
presentation or content of the coursework
ASSIGNMENT REPORTS
A complete assignment report should be structured
as follows:
(a)
Introduction
(b)
Methodology
(c)
Results
(d)
Conclusion
ASSIGNMENT REPORTS
(a) Introduction:
•Description of the problem (including the title)
(b) Methodology
•The application...

...
ANALYSIS
Physics has a lot of topics to cover. In the previous experiments, we discussed Forces, Kinematics, and Motions. In this experiment, the focus is all about Friction. Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction like fluid friction which describes the friction between layers of a viscous fluid that are moving relative to each other; dry friction which resists relative lateral motion of two solid surfaces in contact and is subdivided into static friction between non-moving surfaces, and kinetic friction between moving surfaces; lubricated friction which is a case of fluid friction where a fluid separates two solid surfaces; skin friction which is a component of drag, the force resisting the motion of a fluid across the surface of a body; internal friction is the force resisting motion between the elements making up a solid material while it undergoes deformation and sliding friction.
When surfaces in contact move relative to each other, the friction between the two surfaces converts kinetic energy into heat. This property can have dramatic consequences, as illustrated by the use of friction created by rubbing pieces of wood together to start a fire. Kinetic energy is converted to heat whenever motion with friction occurs, for example when a viscous fluid is stirred. Another important consequence of many types of friction can be wear,...

...
The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also be communicated to the offeree before it is being accepted. In addition, the acceptance has to be unqualified, unconditional and made by a positive act. In the case of Beauty and Stylish, a positive act refers to the signing of the contract. All terms of the offer must be accepted without any changes and cannot be subjected to any condition, taking effect only upon fulfillment of that condition. When Beauty and Stylish enter into the agreement, they must intend to bind and bound legally to each other by their agreement. This is the intention to create legal relations between two parties. In the meanwhile, this contract must possess consideration. A contract must therefore be a two-sided affair, with each side providing or promising to provide something of value in exchange for what the other is to provide.
Every contract, whether oral or written, contain terms. The terms of a contract set out the rights and duties of the parties. Terms are the promises and undertakings given by each...

...Year 11 Mathematics
Financial Maths
Year 11 Mathematics
Financial Maths
Fiona Pulea
Fiona Pulea
TASK 1: Finding your ideal car (Level 1) (KD1, 2, CD1, MD1)
Imagine you are an eighteen year old who has just finished school and would like to purchase your first car. Select the make and model of a second hand car which is less than six years old, that you would like to own. (Be reasonable!)
You can obtain car prices from a website such as:
* http://www.redbookasiapacific.com/au/
* http://carsguide.news.com.au/
* http://www.carprices.com/
Paste the image of the car including the price below. (*Every student must have a different car and there should be no prices which are exactly the same as any other student in the class. Check with Mr Mellor for approval before proceeding after choosing your car.)
$9,950.00
2010 Model
Hyundai i20
Odometer: 43,930
$9,950.00
2010 Model
Hyundai i20
Odometer: 43,930
$16,990.00
2012 Model
Holden Cruze
Odometer: 48,685
$16,990.00
2012 Model
Holden Cruze
Odometer: 48,685
$25,900.00
2010 Model
Toyota Hilux
Odometer: 80,614
$25,900.00
2010 Model
Toyota Hilux
Odometer: 80,614
1. Find out how much the car is likely to depreciate each year.
Car 1 – Hyundai i20:
Car 2 – Holden Cruze:
Car 3 – Toyota Hilux:
2. Contact an insurer (or research on internet) to find out how much car insurance would cost for an 18-year-old. (attach print out...

...Breaking distances:
Introduction:
Drivers must pay attention to their surroundings. This includes calculating the braking distance from the cars and objects around a driver. With this the driver can avoid accidents and can save lives and money. As shown in the picture above.
The prime factors that apply that have a big impact on the actual stopping distances in the real world:
Weather, road conditions, type and condition of vehicle, load etc , not to mention the age, health and mental ability of the driver. These all can affect the time taken to react and stop the vehicle.
In this investigation we will find distance the car traveled after the breaks were applied. There are emergency cases when the car needs to stop . However when the car breaks are applied, it will still move a certain distance known as the” breaking distance”.
The table below shows the breaking distances that were obtained at different speeds:
If we show the relationship of the speed and the breaking distance by plotting a graph like this one:
If we want to get an equation that helps us identify the relationship between the Speed and the breaking distance. We can see that the line makes a form of a parabola so we drive it through out calculator to get the following results:
We believe that the data is Quadratic because it goes in a parabola: Thus;
When: y=ax2 +bx+c
a=0.004
b=0.203
c=-6.428
Thus we come up with this equation:
Y= (0.004x X2) + 0.203xX -6.428
To make the...

...Part A Q2-MathsAssignment 2012, Mrs Pillai Lvl 1
Irrational numbers are numbers that are neither whole numbers nor ratios of whole numbers. Irrational numbers are real numbers in the sense that they appear in measurements of geometric objects--for example, the number pi (II). However, irrational numbers cannot be represented as decimals, unlike rational numbers, which can be expressed either as finite decimals or as infinite decimals that eventually follow a repeating pattern. By contrast, irrational numbers have infinitely long decimal expansions that never form a repeating pattern. Thus, the number pi can never be written down exactly in decimal form, it can only be approximated, by decimals such as 3.14159. The golden ratio is another famous irrational number approximately equal to 1.618. It appears many times in geometry, art, architecture and other areas
Hippasus
Hippasus is credited with the discovery of irrational numbers. The Pythagoreans were a strict society and all discoveries that happened had to be directly credited to them, not the individual responsible for the discovery. The Pythagoreans were very secretive and did not want their discoveries to get out. They all took oaths to ensure that their discoveries remained with the Pythagorean society. They considered whole numbers to be their rulers and that all quantities could be explained by whole numbers and their ratios. Along came Hippasus who discovered irrational numbers...

...Scenario #1: A Non-Working Grandma
Overview of Scenario:
Grandma survives off a old age pension which means that she wouldn’t be able to contribute a lot of money to spend each month on a phone plan
She makes calls each month which can be easily factorised into a correct plan
Daughter- 30 minutes once a week
Son- 40 minutes once a week
Sister- 60 minutes once a week
SMS’s are minimal, averaging to about 10 a week
International Calls will not be included in determining which plan is best for Grandma
No MMS messages are sent which makes choosing a plan to suit Grandma a lot easier
Phone Plan Selected:
Based on the information provided above the following two plans have been selected:
Provider
Optus- $40 My Time Plan
Virgin- Simple Recharge Voucher
Monthly Access Fee
$40/month
$29/month
Free Calls
90 standard national are included then $1.00 flat rate and Unlimited standard national calls to one Australian landline
Unlimited calls to people with a virgin mobile
Connection Fee- Flagfall
Call Rate
90 standard national are included then $1.00 flat rate
15c per minute to other networks
Messaging
SMS
40 standard national SMS are included and then 25c per SMS up to 160 characters
Unlimited to Virgin mobiles but 15c per 160 characters
MMS
25c to virgin mobiles and 60c to other networks
International Call Rate
See Optus.com.au/international
15c/min to over 100 countries, please visit virginmobile.com.au/international for more...