2014 Year 12

Assessment Task #1(15%)

General Mathematics-Investigation Total marks – 50

General Instructions

Working time – 2 weeks

Write using black or blue pen

An approved board of studies calculator may be used

Outcomes Assessed MG2H-1 TO MG2H-3

Student Name:

Teacher’s name:

Sarah Merheb

Mr Nasr

Collecting Data

1. Find the selling price of 20 houses in your suburb

A. For these prices find the mean, median, mode and range

B. Are there any outliers in your data?

C. Find the selling price of another 20 houses in a town or suburb in a different Australian state. Calculate the mean, median, mode and range for these prices

D. Compare the two sets of house prices using the mean.

The mean in Merrylands is $774,000, whereas in Townsville it is $525,645. The difference is $774,00 - $525,645 = $248,355

E. Compare the two sets of house prices using the median.

The median in Merrylands is $770,000, whereas in Townsville it is $477,500. The difference is $770,000 - $477,500 = $292,500

F. Which comparison is more useful for a person wanting to know the cost of houses in these two different suburbs? Give on reason in your answer.

The median is more for a person wanting to know the cost of houses in a suburb because it is a more accurate indicator of the market trends, as it reflects the sample size being used.

Collecting information

Research information from the internet, newspapers, car yards or motoring magazines about four different cars that you might like to buy. Include the price of the car, the number of cylinders and cylinder size.

Find the;

A. Registration cost of each vehicle per year current fuel prices

B. Current fuel prices

C. Prices of tyres

D. Cost of oil

E. Repayments on a loan for the purchase of the cars if repaid over 5 years

F. Insurance cost for each vehicle, including ‘excess’ payable to insurance company

Car – Most economic – least economic

2014 Ford Fiesta WZ Ambiente

2014 Toyota Corolla Ascent Sport

2014 Volkswagen Golf 7 90TSI Comfortline

2014 BMW 116i F20 My14 Steptronic

Price

$15490

$23,990

$32,888

$44,304

Cylinders

4 cylinder 1499cc

4 cylinder 1798cc

4 cylinder 1395cc

4 cylinder 1598cc

Registration

Rego - $795.00

Green Slip - $693

= $1,488

Rego - $1,101.00

Green Slip - $693 = $1,794

Rego - $1,368.00

Green Slip - $693

$2,061

Rego -$1,713.00

Green slip - $693 = $2,406

Fuel prices

5.8L/km – 42L tank. 146.9 × 42 = $61.70

7.1L/100km – 50L tank. 146.9 × 50 = $73.45

5.4L/100km – 50L tank. 146.9 × 50 = $73.45

5.8L/100km – 52L tank. 146.9 × 52 = $76.40

Tyres

185/55 R15

$164 × 4 = $656

205/55 R16

$157 × 4 = $616

205/55 R16

$157 × 4 = $616

205/55 R16

$157 × 4 = $616

Oil

Castrol Magnatec Engine Oil 10W40, 5L -

Castrol Magnatec Engine Oil 5W30, 5L - $53.88

Shell Helix Engine Oil- HX8 5W-30 5L - $48.95

Castrol Edge Engine Oil 5L - $54.98

Loan Repayments

12.99%pa 5 years = $ 353 per month

$4,236 per year

12.99%pa 5 years = $ 546 per month

$6,552 per year

12.99%pa 5 years = $ 749 per month

$8,988 per year

12.99%pa 5 years

= $1,008 per month

$12,096 per year

Insurance

$775 including excess of $850

$896 including excess of $850

$1371 including excess of $850

$1856 including excess of $850

Cost of insurance, registration and repayments per year

S1488 + $ 4236 + $775 =

$6,499

$1794 + $6552 + $896 =

$9242

$2061 + $8988 + $1371 =

$12420

$2406 + $12096 + $1856 =

$16358

G. Make a table showing all vehicles researched and arrange them in order from most economical to least economical

H. Decide if your choice of cars needs amending

Both the Volkswagen and BMW could be amended as they cost a lot more than the other cars and are not as efficient

3. Find the problems that would be caused by each of the following biased samples.

A. A survey is to be conducted to decide the most popular sport in a local community. A