Maths ProjectBy the end of this se.docx

Maths Project
By the end of this seminar you will have
Collected a sample of 30 houses from Area A
Considered how to make progress with your maths project
Objectives
Go to www.socrative.com
Type your name
The room is YW
Answer the questions

Quick Quiz
Check what you know
Sampling
You will compare house prices in 2 areas of Newcastle.
You will select a sample of at least 30 houses from each area
Area A : Gosforth or Jesmond
Area B : Walker, Byker or Wallsend
Choose one from each area
Maths Project
You will collect a sample of 30 houses from Jesmond
You will use a website e.g. Rightmove
You will add your sample to an Excel spreadsheet
You should email this to Yvonne for checking

Collecting Data
Take a photo
You need to collect a sample of 30 houses
You may have a population of 300+ houses
How will you choose?
Discuss with your partner
Choosing your Sample
Demonstrate
Types of Houses
Take a photo

Detached
Semi- detached
Terraced
Bungalow
Flat/Apartment
Collect a sample of 30 houses prices from either Jesmond or
Gosforth
If you have time today…..
Collect a sample of 30 houses prices from either Byker or
Walker
Enter the data onto your spreadsheet (I have emailed a template
to you)
Collecting your Data
Support
Independent Work
Your task
Finish collecting your data
Work on the rest of your project
Writing your introduction & methodology

Introduction
Background of the 2 areas
Hypothesis stated
Background : Jesmond
Where is it?
Who lives there?
What types of houses?
Which facilities?
History?
Research :
Make notes
Write a paragraph (200 words max)
Jesmond
Where?

Facilities?
House types?
Who?
History?
Anything else?

Background : Byker
Where is it?
Who lives there?
What types of houses?
Which facilities?
History?
Research :
Make notes
Write a paragraph (200 words max)
Byker
Where?
Facilities?
House types?

Who?
History?
Anything else?
Hypothesis Statement
The hypothesis is that houses in ______ are more expensive
than houses in ____________

Describe/explain your method
Describe your sampling technique
Explain how you will approach the project
Methodology
At least 3 different types of graphs
Include calculations – mean. Median. Mode, Standard Deviation
Include comments on all graphs and calculations. What do they
show?
Results & Discussion
State whether how hypothesis is supported
Explain how you know. Give examples
No new material
Conclusion
04/03/2020
1
Maths for Business - INU0111/0511
Project
Deadline

12:00 noon
Tuesday
March 24th 2020
Project
• The project looks at the price of houses in Newcastle.
– i.e. How much it would cost to BUY a property
• Because there are many areas of the city, you must
concentrate on only 2 areas.
• You are to compare and comment on the similarities
and differences in the prices of houses in the two
locations.
In this Project you will. . .
1. . . . collect appropriate data that can be used to . . .
2. . . . carry out a statistical analysis of house prices in
two areas of Newcastle upon Tyne and to . . .
3. . . . write a report that presents the analysis in words
and graphs and to . . .
4. . . . draw conclusions.

History
• Newcastle upon Tyne grew up from separate, small settlements
• Centuries ago, the River Tyne had a town called Newcastle
around the
“new castle” built by the Normans
– there were communities outside now known as Walker, Byker,
Wallsend (where
Hadrian’s Wall ended), Gosforth, Jesmond and many others
• The Industrial Revolution came to the North-East, Newcastle
became a
centre for coal exports, shipbuilding and other “heavy” industry
on the
River Tyne from Wallsend and Walker to Scotswood and
Elswick.
History - continued
• With the heavy industry came a workforce
• Public transport was limited
– workers lived near their place of work
• In very simple terms
– houses near the river were built to house the workers
• Areas away from the river grew up to house those who were
better off
– Often those who owned the businesses
• Most of the heavy industry has gone now

– but some of the houses remain - often small terraced houses of
Walker,
Wallsend and Byker are a reminder of those days
04/03/2020
2
iver) and Gosforth (a
little further north) grew up away from the heavy industry
Elmfield Road
in Gosforth) still contain very expensive houses dating from the
late
1890’s and early 1900’s
reach these levels
housed its workforce.
History - continued
The Areas to look at…

House Prices
• What affects the price of a house?
– Type
– Size
•Number of bedrooms
– Location
•You needs to choose ONE location from each Area
Houses in the UK come in many shapes and sizes.
There are detached houses in their own grounds.
Semi-detached which share a central wall with another house
and
terraced (a row of houses).
Then there are bungalows (just a ground floor, no upstairs) and
apartments (part of a block).
There are also houses called Tyneside flats. These are (usually)
a
terraced house divided so that someone lives upstairs and
someone
lives downstairs (and they have separate front doors).
Types of Houses

Types of Houses
Terraced
Houses
Tyneside
Flat
Detached
House
Semi-detached House
Block of flatsBungalow
Apartment Block
Hypothesis
Houses in Area A are . . . . . . . than houses in Area B
nd
Houses in Gosforth are . . . . . . . . . . . than houses in Byker
. . . for example . . .
http://images.icnetwork.co.uk/upl/icnewcastle/jun2008/4/1/5E1
FE988-D657-F110-AB7F71C22E1EFFA1.jpg
http://images.google.co.uk/imgres?imgurl=http://img.dailymail.
co.uk/i/pix/2008/01_03/DetachedHomeL_468x299.jpg&imgrefur
l=http://www.dailymail.co.uk/news/article-508113/Detached-
house-prices-plummet-270-day-property-market-enters-

slowdown.html&usg=__CW_0yu-
eygukb8vfn9MVRFmslEQ=&h=299&w=468&sz=43&hl=en&sta
rt=2&tbnid=GkYDa7-
SCgqttM:&tbnh=82&tbnw=128&prev=/images?q=Detached+Ho
use&gbv=2&hl=en&sa=G
http://images.google.co.uk/imgres?imgurl=http://www.neverpai
ntagain.co.uk/articleimage.php?id=111&imgrefurl=http://www.n
everpaintagain.co.uk/article/The-Rise-of-the-semi-detached-
house&usg=__yUcbIqmVm-OIZsYteCY-
Gbjo0zg=&h=216&w=288&sz=22&hl=en&start=28&tbnid=oJN
_CfqCeVBdSM:&tbnh=86&tbnw=115&prev=/images?q=semi-
detached+House&start=20&gbv=2&ndsp=20&hl=en&sa=N
http://static.flickr.com/91/247796015_60db03bf84.jpg
http://images.google.co.uk/imgres?imgurl=http://www.littleking
s.co.uk/images/bungalow.jpg&imgrefurl=http://www.littlekings.
co.uk/bungalow.shtml&usg=__3PtBPEFj61Lfj63It_gPto808Kg=
&h=329&w=450&sz=19&hl=en&start=4&tbnid=wTH77Tgkneue
EM:&tbnh=93&tbnw=127&prev=/images?q=Bungalow&gbv=2
&hl=en&sa=G
04/03/2020
3
Which Area?
You need to choose:
Either Gosforth or Jesmond from Area A
And
Either Byker, Walker or Wallsend from Area B

Collecting data…
You could obtain your data:
• From “The Journal” on Saturday
• By asking estate agents for their in-house magazines
– Estate agents specialise in different areas.
But it is much easier
• to visit estate agents’ websites.
– These can give you lots of raw data
• . . . www.rightmove.co.uk
Creating your tables…Organising your data
Street Number of Bedrooms Type of House Price
The Drive 5 Semi-detached £675,000
Area A = Jesmond or Gosforth
Area B = Wallsend, Walker or Byker
For each area a table like this may be helpful as you start to sort
out the raw data
Remember that you will need one

table for each area.
At least 30 houses from each area. 50 to 100 houses from each
would be better!
Area AArea BGosforth
All your data . . .
You need to compare the whole set of data for the two areas.
Breaking your data up..
• When you are done with the whole of Area A and Area B,
start looking at the categories.
• Look at the prices of houses by number of bedrooms and
create boxplots for 2, 3, 4, more than 4 bedrooms where
appropriate
• You can compare within each area and between each area
Another possible hypothesis?
There is a link between the price of a house and . . .
http://www.rightmove.co.uk/
04/03/2020

4
Analysing your data…
Note that you have quantitative data, which is discrete,
(measured in £).
Consider the types of charts and graphs that we have used.
Which is most suitable?
Can you use boxplots? Is this a good way to communicate
information?
What others are useful? Histograms?
How do you compare two sets of data, e.g. 3 bedroom houses in
Jesmond with
3 bedroom houses in Walker.
Analysing your data…
What types of calculations are you going to do?
• To show the centre of the data? The middle or measure of
location?
•To show the spread or the measure of dispersion of the data?

Remember . . . .
Whose data is it?
Use Excel and Geogebra
Using Excel…
Draw your boxplots using Geogebra, Excel 2016 or any
other Statistical software
Choose appropriate scales.
Mean: = AVERAGE(D1:D60)
Median: = MEDIAN(D1:D60)
Standard Deviation: =STDEV.P(D1:D60)
Presenting your data…
Do not just present lots of bar charts, pie charts and boxplots.
You need TABLES with medians, inter-quartile ranges, means
and standard
deviations.
Presenting your data…
Find the Median and the Quartile positions for the two areas
using ALL your data. Then present this data as two boxplots….

50000 100000 150000
200000 250000
House Prices
Area A
Area B
04/03/2020
5
What you need to include …
• A front cover with a title and your name.
• An introduction to say what you expect to find from your
observations
of the areas and a brief background of the chosen areas.
• A discussion of where you got your data from.
• A discussion about how you chose your data.
• Tables of data.
• Charts or graphs
• A discussion of what you have found.
• Conclusions about the house prices in the two areas.

• A list of raw data as an appendix.
Write a REPORT
Email :
[email protected]
[email protected]
Now . . .
You need to
. . . Collect
Some Data
How?
From
Where?
mailto:[email protected]
JesmondJesmondStreetTypeNo. of bedroomsPrice
(£)DetachedNumber of BedroomsFrequencySemi-
detached1Terraced2Flat3Bungalow45MeanMedianModeStandar
d deviation
BykerBykerStreetTypeNo. of bedroomsPrice
(£)DetachedNumber of BedroomsFrequencySemi-
detached1Terraced2Flat3Bungalow45MeanMedianModeStandar
d deviation
Sheet3

Maths for Business
INU0111
Semester 2
Project
Deadline: Tuesday March 24th - 12:00 noon
2 | P a g e
Aims of the Project
The aim of this project is to explore the price of properties for

sale in two areas
of Newcastle upon Tyne. You are to write a report comparing
the properties
available and their prices for two specific areas of Newcastle
upon Tyne. You
are expected to use the statistical methods that you are learning
on your
course.
Background
Newcastle upon Tyne, like many major cities, grew up from
separate, small
villages. Centuries ago, the River Tyne had a town called
Newcastle around
the “new castle” built by the Normans and there were
settlements outside this
now known as Walker, Byker, Wallsend (where Hadrian’s Wall
ended),
3 | P a g e
Gosforth, Jesmond and many others. When the Industrial
Revolution came to
the North-East, Newcastle became a centre for coal exports,
shipbuilding (on

the River Tyne from Wallsend to Walker and up the river at
Scotswood and
Elswick) and other “heavy” industry. Indeed, the river became
the most
important resource the area had. Even today, Geordies are very
attached to
“their” river.
With all the heavy industry came a workforce. In a time when
public transport
was limited, workers lived near their place of work. In very
simple terms,
properties near the river were built to house the workers and
areas away from
the river grew up to house those who were better off. Most of
the heavy
industry has gone now but many of the properties remain. The
sometimes-
narrow cramped streets and often small terraced properties of
Walker,
Wallsend and Byker are a reminder of those days.
Jesmond (about 2km north of the river) and Gosforth (a little
further north)
grew up away from the heavy industry. This was where the

people with wealth
lived. Some streets (such as Mitchell Avenue in Jesmond or
Elmfield Road in
Gosforth) still contain very expensive properties dating from
the late 1890’s
and early 1900’s. Elsewhere in Jesmond and Gosforth, prices
never quite reach
these levels but are much higher than the sites where heavy
industry once
housed its workforce.
4 | P a g e
Types of Properties
Properties in the UK come in many shapes and sizes. There are
detached
properties in their own grounds and semi-detached, which share
a central wall
with another house. There are also terraced houses (a row of
properties).
Then there are bungalows (just a ground floor, no upstairs) and
apartments

(part of a block). There are also properties called Tyneside
flats. These are
(usually) a terraced house divided so that someone lives upstairs
and someone
lives downstairs (and they have separate front doors). There are
other types
too, so be very careful in your categorisation.
Terraced
Houses
Tyneside Flat
Detached
House
Semi-detached
House
Block of flats Bungalow
Apartment Block
5 | P a g e
How to tackle this project…?
You need to write a report. You must choose ONE location
from each area and

collect data on prices of houses, number of bedrooms in each
house and type
of each house. You will need to create a table of data with
column headings
that look like this:
Area A
Street Number of Bedrooms Type of House Price
Repeat for Area B
The first thing you are going to have to do is to collect some
data.
Have a look at the map on the page 2.
The areas outlined in blue dashes (Area A: Jesmond and
Gosforth) and red
dots (Area B: Wallsend, Walker and Byker) are the places you
are looking for
data. There are newspapers that contain information about
properties for
sale. HOWEVER, the simplest way to find data is to use
ESTATE AGENTS’
websites.

Make a note of where you obtained your data because you will
need to
reference it.
You need at least 30 properties from each area (at least 60 in
total) for this
project. However, between 50 and 100 properties from each
area would be
better. Try to make the sample REPRESENTATIVE of the
population of all the
properties available in the two areas that you have chosen. Do
not just choose
many 3-bedroom semi-detached properties (even though there
are a lot of
these about). Also, do not just choose the first few properties
on a website, as
they may be the most expensive or least expensive properties
available.
6 | P a g e
The best way to create your table of data is to use Microsoft
Excel. When you
have collected all your data, print off a full list sorted so the
most expensive

properties are at the top of the list and the cheapest is at the
bottom.
Explaining what you are doing and why is important.
Break your data up now into the two areas, A and B.
What types of properties are available in these two areas or how
many
properties are there with 1, 2, 3, etc. bedrooms? You will need
to make a
comparison between the two areas. Consider using tables,
graphs and
comments.
Considering all the data for each area calculate some statistics.
Find the
measures for the centre and for the spread of the prices.
Display your two sets
of data graphically. Now make some comment about what you
have found.
Do not just “do statistics”; analyse them.
You could now break your data up into smaller categories. For
example, draw
graphs to show the prices of 2-bedroom properties in the 2
areas, then for the
3-bedroom properties (or detached properties, or semi-detached

properties).
Drawing conclusions and using the statistics that you have
calculated is an
important skill. Top marks can be obtained by writing between
1000 and
1500 words.
The Project will be marked out of 100 according to the
following criteria:
7 | P a g e
For further details, please see Blackboard.
Additional Advice.

what you hope
to find.
need to say
how you chose your sample of properties.
expected.
evidence
that you have collected.
Submitting the project
You must submit your project by 12:00 noon on Monday March
23rd. You must
upload your project to Turnitin using Blackboard. You do NOT

need to hand
in a paper copy of your project. Late submissions are liable to
be penalised. If
you have any problems, you must contact either Adrian or
Yvonne by email
before the submission time:
[email protected][email protected]

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