Data
Finance
Matrices
Linear
CAS Skills
100
Give an example of discrete numerical data.
Any data set that is numerical using whole numbers
100
What is the percentage change for $50 to $80
60%
100
A matrix with the same number of rows and columns is called a _______ matrix.
square
100
What is the slope of the line y=2x+1
2
100
What is the 4th mode on your calculator home screen called?
Lists & Spreadsheet
200
What is the interquartile range (IQR) of:
4, 6, 8, 9, 10, 13, 15, 17, 20
Q1 = 8, Q3 = 17 ⇒ IQR = 17 − 8 = 9
200
If I invested $2000 in my bank account, did not put anything extra in, and by the end of 3 years had $2750, how much interest did I receive?
$750
200
What is the result of multiplying a 2×3 matrix by a 3×1 matrix?
2 x 1
200
A movie rental costs $5 plus $3 per day. Write an equation for this situation.
Cost = 5 + 3 x day
200
Describe how you would use your CAS to find the mean and standard deviation of a data set.
Lists & Spreadsheet mode -> Enter data into column A -> Menu -> 4 Statistics -> 1 Stat Calculations -> 1 One-Variable Statistics, Press okay twice. Find mean: x̄ , find SD: sx (or σx if you have the whole population's data, not just a sample)
300
Is the mean or median a better measure of center for skewed data?
Median
300
Find the balance for annual compound interest on $1,500 at 5% for 2 years
=$1,653.75
300
In a communication matrix, what do the 1's represent?
Direct communication between two parties
300
Another word for vertical intercept is
y-intercept
300
What do you have to do in Graph mode to plot an equation like 3x + 2y = 10?
Backspace the equals sign next to f(x), select 6: Relation
400
A class of students completed a standardised mathematics test. The scores were normally distributed with a mean of 70 and a standard deviation of 8.
What percentage of students scored between 62 and 78?
68%
400
What is the difference between flat rate and reducing balance depreciation?
Flat rate: Same value lost each year
Reducing balance: Loss is a % of the current value, so loss amount decreases each year
400
What does the identity matrix do when multiplied by another matrix?
Nothing
400
Solve the simultaneous equations:
2x+9y=17
5x-2y=-31
(-5, 3)
400
Describe the steps for using your CAS to find the number of days between two dates.
Calculator mode: Menu -> 8 Finance -> 6 Days between Dates -> 2 Day Month Format -> Type in dates with commas between day,month,year
500
Explain how you would tell if a distribution is skewed just by looking at its boxplot.
Long lower or upper tail. Median towards one end of the box.
500
You invest an amount at 4% p.a. compound interest, compounded annually. After 5 years, the investment is worth $6,082. What was the original amount invested?
$5000
500
What is the formula used to help us find the inverse of a 2 x 2 matrix? e.g.
[a,b]
[c,d]
500
Write the piecewise equations for the following graph:
y = x+1 {-4<=x<=1}
y=-x {-1<x<=3}
500
From their home screen, someone has pressed the following buttons on their CAS:
1 2 - 2 + 3 x ENTER MENU 5 1 - 1 ENTER
What have they done?
They have gone into Graph mode and sketched a graph of y=-2+3x and have then used the trace function to find the coordinate when x = -1 (-1,-5).