Data Analysis
Recursion & Financial Modelling
Matrices
Networks & Decision Mathematics
100

What type of survey data would the following question generate

'What is your favorite ice-cream flavour'

Categorical, Nominal

100

The amount saved if a 25% discount is offered on an item marked $24 is

$6

100

Consider the below matrix
F = [ 1     3      5 ]

Its order is

1 x 3

100

Euler's formula for a planar graph is

v-e+f=2

200

The mean of the following data is

1, 1, 3, 6, 9

4

200

How much interest is earned if $3000 is invested for 18 months at 6.5% p.a.?

$292.50

200

| 7  4 |        | 5   -2 |
| 6  2 |   +   | 1    5 | =

| 12   2 |
| 7     7 |

200

A planar graph is

A graph with no edges crossing

300

The median of this data set is

4, 9, 12, 15, 16, 18, 20

15

300

The 20th term of this sequence is equal too
27, 19, 11, 3, ...

-125

300

Matrix A is a 2 x 4 matrix

Matrix B is a 4 x 1 matrix

What would the order of the matirx resulting from AB be?

2 x 1

300
Two graphs are isomorphic if

The have the name number of edges and vertices, and corresponding vertices have the same degree and the edges connect the same vertices

400

The IQR of this data set is

18, 23, 24, 28, 31, 33, 40

10

400

The 20th term of this sequence is equal to

0.5, 1, 2, 4, ...

262144

400

Find the inverse of
|1   2|

|3   4|

| -2      1  |

| 1.5  -0.5 |

400

A planar connected graph has 4 vertices and 6 edges. How many faces does is have?

4

500

The standard deviation of this data is

2, 3, 5, 6, 9

2.7

500

The terms of a sequence start at 1000 and each new term is 8% less than the previous term. Find the 15th term, correct to two decimal places

311.19

500

Consider Matrix A, which is a 2 x 2 matrix
A * A-1 =

|1   0|

|0   1|

500

A connected graph has 8 vertices and 10 edges. It's spanning tree has how many edges?

7

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